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Finding the Fourth Proportional to 747.32, 1,031.06 and 415.68

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Solution

The fourth proportional to 747.32, 1,031.06 and 415.68 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.32 : 1,031.06 = 415.68 : x
  2. Step 2: Convert to fraction form
    747.32/1,031.06 = 415.68/x
  3. Step 3: Cross multiply
    747.32x = 1,031.06 × 415.68
  4. Step 4: Simplify right side
    747.32x = 428,592.06
  5. Step 5: Solve for x
    x = 428,592.06/747.32
  6. Step 6: Final answer
    x = 573.50

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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.