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Finding the Fourth Proportional to 747.47, 1,031.87 and 526.61

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Solution

The fourth proportional to 747.47, 1,031.87 and 526.61 is: 726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.47 : 1,031.87 = 526.61 : x
  2. Step 2: Convert to fraction form
    747.47/1,031.87 = 526.61/x
  3. Step 3: Cross multiply
    747.47x = 1,031.87 × 526.61
  4. Step 4: Simplify right side
    747.47x = 543,393.06
  5. Step 5: Solve for x
    x = 543,393.06/747.47
  6. Step 6: Final answer
    x = 726.98

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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.