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Finding the Fourth Proportional to 747.97, 1,031.33 and 498.76

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Solution

The fourth proportional to 747.97, 1,031.33 and 498.76 is: 687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.97 : 1,031.33 = 498.76 : x
  2. Step 2: Convert to fraction form
    747.97/1,031.33 = 498.76/x
  3. Step 3: Cross multiply
    747.97x = 1,031.33 × 498.76
  4. Step 4: Simplify right side
    747.97x = 514,384.82
  5. Step 5: Solve for x
    x = 514,384.82/747.97
  6. Step 6: Final answer
    x = 687.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.