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Finding the Fourth Proportional to 938.92, 1,295.77 and 565.90

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Solution

The fourth proportional to 938.92, 1,295.77 and 565.90 is: 780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.92 : 1,295.77 = 565.90 : x
  2. Step 2: Convert to fraction form
    938.92/1,295.77 = 565.90/x
  3. Step 3: Cross multiply
    938.92x = 1,295.77 × 565.90
  4. Step 4: Simplify right side
    938.92x = 733,276.24
  5. Step 5: Solve for x
    x = 733,276.24/938.92
  6. Step 6: Final answer
    x = 780.98

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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.