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Finding the Fourth Proportional to 747.20, 1,031.09 and 467.29

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Solution

The fourth proportional to 747.20, 1,031.09 and 467.29 is: 644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.20 : 1,031.09 = 467.29 : x
  2. Step 2: Convert to fraction form
    747.20/1,031.09 = 467.29/x
  3. Step 3: Cross multiply
    747.20x = 1,031.09 × 467.29
  4. Step 4: Simplify right side
    747.20x = 481,818.05
  5. Step 5: Solve for x
    x = 481,818.05/747.20
  6. Step 6: Final answer
    x = 644.83

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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.