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Finding the Fourth Proportional to 747.46, 1,031.64 and 467.86

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Solution

The fourth proportional to 747.46, 1,031.64 and 467.86 is: 645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.46 : 1,031.64 = 467.86 : x
  2. Step 2: Convert to fraction form
    747.46/1,031.64 = 467.86/x
  3. Step 3: Cross multiply
    747.46x = 1,031.64 × 467.86
  4. Step 4: Simplify right side
    747.46x = 482,663.09
  5. Step 5: Solve for x
    x = 482,663.09/747.46
  6. Step 6: Final answer
    x = 645.74

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Why These Related Problems?

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