The phrase "crucial to determining" is correct and usable in written English.
You can use this phrase to emphasize the importance of something when making a decision or a conclusion. For example: "Gathering accurate data is crucial to determining the nature of the problem."
Explaining the dissonance may be crucial to determining the outcome.
That type of evidence will be crucial to determining whether he acted reasonably.
The style of leadership is, of course, crucial to determining the pace of change over Whitehall's procurement policies.
After the newly renovated theater reopens in summer, 2005, the next few years will be crucial to determining its identity.
Clinical trials are crucial to determining the human safety and efficacy of new therapeutic innovations.
Context is crucial to determining whether language is offensive at law, but judges are not required by law to have any linguistic expertise.
The experience of academies, as well as other sectors such as hospitals, raise three questions that are crucial to determining the success of these plans.
Also, the Geological Survey says, tracking them at low levels is crucial to determining whether they have additive effects when they occur together in the environment.
North Korea announced last week that it would bar international nuclear inspectors from taking soil and nuclear waste samples, considered crucial to determining the extent of its program.
Whatever its direction, the strategic choices the company made at this point in its evolution would be crucial to determining its continued success.
Investigating these biological processes underlying thermal optima and thermal limits of ectothermic species is crucial to determining susceptibility of an organism to shifts in their environmental temperature.
