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Finding the Fourth Proportional to 655.05, 906.09 and 577.44

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Solution

The fourth proportional to 655.05, 906.09 and 577.44 is: 798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.05 : 906.09 = 577.44 : x
  2. Step 2: Convert to fraction form
    655.05/906.09 = 577.44/x
  3. Step 3: Cross multiply
    655.05x = 906.09 × 577.44
  4. Step 4: Simplify right side
    655.05x = 523,212.61
  5. Step 5: Solve for x
    x = 523,212.61/655.05
  6. Step 6: Final answer
    x = 798.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.