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Finding the Fourth Proportional to 747.34, 1,031.33 and 415.78

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Solution

The fourth proportional to 747.34, 1,031.33 and 415.78 is: 573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.34 : 1,031.33 = 415.78 : x
  2. Step 2: Convert to fraction form
    747.34/1,031.33 = 415.78/x
  3. Step 3: Cross multiply
    747.34x = 1,031.33 × 415.78
  4. Step 4: Simplify right side
    747.34x = 428,806.39
  5. Step 5: Solve for x
    x = 428,806.39/747.34
  6. Step 6: Final answer
    x = 573.78

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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.