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Finding the Fourth Proportional to 747.26, 1,031.82 and 467.94

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Solution

The fourth proportional to 747.26, 1,031.82 and 467.94 is: 646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.26 : 1,031.82 = 467.94 : x
  2. Step 2: Convert to fraction form
    747.26/1,031.82 = 467.94/x
  3. Step 3: Cross multiply
    747.26x = 1,031.82 × 467.94
  4. Step 4: Simplify right side
    747.26x = 482,829.85
  5. Step 5: Solve for x
    x = 482,829.85/747.26
  6. Step 6: Final answer
    x = 646.13

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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.