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Finding the Fourth Proportional to 657.55, 907.10 and 560.35

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Solution

The fourth proportional to 657.55, 907.10 and 560.35 is: 773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.55 : 907.10 = 560.35 : x
  2. Step 2: Convert to fraction form
    657.55/907.10 = 560.35/x
  3. Step 3: Cross multiply
    657.55x = 907.10 × 560.35
  4. Step 4: Simplify right side
    657.55x = 508,290.68
  5. Step 5: Solve for x
    x = 508,290.68/657.55
  6. Step 6: Final answer
    x = 773.01

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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.