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Finding the Fourth Proportional to 747.33, 1,031.81 and 467.97

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Solution

The fourth proportional to 747.33, 1,031.81 and 467.97 is: 646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.33 : 1,031.81 = 467.97 : x
  2. Step 2: Convert to fraction form
    747.33/1,031.81 = 467.97/x
  3. Step 3: Cross multiply
    747.33x = 1,031.81 × 467.97
  4. Step 4: Simplify right side
    747.33x = 482,853.79
  5. Step 5: Solve for x
    x = 482,853.79/747.33
  6. Step 6: Final answer
    x = 646.11

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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.