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Finding the Fourth Proportional to 747.26, 1,031.03 and 498.42

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Solution

The fourth proportional to 747.26, 1,031.03 and 498.42 is: 687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.26 : 1,031.03 = 498.42 : x
  2. Step 2: Convert to fraction form
    747.26/1,031.03 = 498.42/x
  3. Step 3: Cross multiply
    747.26x = 1,031.03 × 498.42
  4. Step 4: Simplify right side
    747.26x = 513,885.35
  5. Step 5: Solve for x
    x = 513,885.35/747.26
  6. Step 6: Final answer
    x = 687.69

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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.