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Finding the Fourth Proportional to 937.92, 1,294.38 and 565.02

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Solution

The fourth proportional to 937.92, 1,294.38 and 565.02 is: 779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.92 : 1,294.38 = 565.02 : x
  2. Step 2: Convert to fraction form
    937.92/1,294.38 = 565.02/x
  3. Step 3: Cross multiply
    937.92x = 1,294.38 × 565.02
  4. Step 4: Simplify right side
    937.92x = 731,350.59
  5. Step 5: Solve for x
    x = 731,350.59/937.92
  6. Step 6: Final answer
    x = 779.75

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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.