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Finding the Fourth Proportional to 747.53, 1,031.61 and 415.95

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Solution

The fourth proportional to 747.53, 1,031.61 and 415.95 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.53 : 1,031.61 = 415.95 : x
  2. Step 2: Convert to fraction form
    747.53/1,031.61 = 415.95/x
  3. Step 3: Cross multiply
    747.53x = 1,031.61 × 415.95
  4. Step 4: Simplify right side
    747.53x = 429,096.15
  5. Step 5: Solve for x
    x = 429,096.15/747.53
  6. Step 6: Final answer
    x = 574.02

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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.