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Finding the Fourth Proportional to 747.13, 1,031.01 and 415.57

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Solution

The fourth proportional to 747.13, 1,031.01 and 415.57 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.13 : 1,031.01 = 415.57 : x
  2. Step 2: Convert to fraction form
    747.13/1,031.01 = 415.57/x
  3. Step 3: Cross multiply
    747.13x = 1,031.01 × 415.57
  4. Step 4: Simplify right side
    747.13x = 428,456.83
  5. Step 5: Solve for x
    x = 428,456.83/747.13
  6. Step 6: Final answer
    x = 573.47

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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.