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Finding the Fourth Proportional to 747.29, 1,031.22 and 415.73

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Solution

The fourth proportional to 747.29, 1,031.22 and 415.73 is: 573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.29 : 1,031.22 = 415.73 : x
  2. Step 2: Convert to fraction form
    747.29/1,031.22 = 415.73/x
  3. Step 3: Cross multiply
    747.29x = 1,031.22 × 415.73
  4. Step 4: Simplify right side
    747.29x = 428,703.93
  5. Step 5: Solve for x
    x = 428,703.93/747.29
  6. Step 6: Final answer
    x = 573.68

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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.