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Finding the Fourth Proportional to 932.64, 1,400.31 and 521.70

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Solution

The fourth proportional to 932.64, 1,400.31 and 521.70 is: 783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.64 : 1,400.31 = 521.70 : x
  2. Step 2: Convert to fraction form
    932.64/1,400.31 = 521.70/x
  3. Step 3: Cross multiply
    932.64x = 1,400.31 × 521.70
  4. Step 4: Simplify right side
    932.64x = 730,541.73
  5. Step 5: Solve for x
    x = 730,541.73/932.64
  6. Step 6: Final answer
    x = 783.31

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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.