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Finding the Fourth Proportional to 747.35, 1,031.22 and 432.63

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Solution

The fourth proportional to 747.35, 1,031.22 and 432.63 is: 596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.35 : 1,031.22 = 432.63 : x
  2. Step 2: Convert to fraction form
    747.35/1,031.22 = 432.63/x
  3. Step 3: Cross multiply
    747.35x = 1,031.22 × 432.63
  4. Step 4: Simplify right side
    747.35x = 446,136.71
  5. Step 5: Solve for x
    x = 446,136.71/747.35
  6. Step 6: Final answer
    x = 596.96

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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.