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Finding the Fourth Proportional to 747.50, 1,031.46 and 415.88

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Solution

The fourth proportional to 747.50, 1,031.46 and 415.88 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.50 : 1,031.46 = 415.88 : x
  2. Step 2: Convert to fraction form
    747.50/1,031.46 = 415.88/x
  3. Step 3: Cross multiply
    747.50x = 1,031.46 × 415.88
  4. Step 4: Simplify right side
    747.50x = 428,967.71
  5. Step 5: Solve for x
    x = 428,967.71/747.50
  6. Step 6: Final answer
    x = 573.87

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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.