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Finding the Fourth Proportional to 932.52, 1,399.05 and 521.97

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Solution

The fourth proportional to 932.52, 1,399.05 and 521.97 is: 783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.52 : 1,399.05 = 521.97 : x
  2. Step 2: Convert to fraction form
    932.52/1,399.05 = 521.97/x
  3. Step 3: Cross multiply
    932.52x = 1,399.05 × 521.97
  4. Step 4: Simplify right side
    932.52x = 730,262.13
  5. Step 5: Solve for x
    x = 730,262.13/932.52
  6. Step 6: Final answer
    x = 783.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.