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Finding the Fourth Proportional to 924.61, 1,385.17 and 716.73

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Solution

The fourth proportional to 924.61, 1,385.17 and 716.73 is: 1,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.61 : 1,385.17 = 716.73 : x
  2. Step 2: Convert to fraction form
    924.61/1,385.17 = 716.73/x
  3. Step 3: Cross multiply
    924.61x = 1,385.17 × 716.73
  4. Step 4: Simplify right side
    924.61x = 992,793.70
  5. Step 5: Solve for x
    x = 992,793.70/924.61
  6. Step 6: Final answer
    x = 1,073.74

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Why These Related Problems?

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