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Other companies that ranked high on Fortune's list include Google at #2 and Amazon.com at #5.
Check out this video from Fortune that explains a little more about the process and provides some insights into why certain companies are so admired:
Consumer and business trust, strong customer loyalty and the ability to transform new markets are all reasons that Apple was voted "most admired." Apple easily topped the survey by scoring 51% of the vote.
Because this survey was taken before Apple filed suit against HTC, its recent legal actions obviously weren't taken into consideration.