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Finding the Fourth Proportional to 747.13, 1,031.25 and 467.21

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Solution

The fourth proportional to 747.13, 1,031.25 and 467.21 is: 644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.13 : 1,031.25 = 467.21 : x
  2. Step 2: Convert to fraction form
    747.13/1,031.25 = 467.21/x
  3. Step 3: Cross multiply
    747.13x = 1,031.25 × 467.21
  4. Step 4: Simplify right side
    747.13x = 481,802.82
  5. Step 5: Solve for x
    x = 481,802.82/747.13
  6. Step 6: Final answer
    x = 644.87

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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.