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Finding the Fourth Proportional to 1,583.52, 2,375.29 and 487.88

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Solution

The fourth proportional to 1,583.52, 2,375.29 and 487.88 is: 731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.52 : 2,375.29 = 487.88 : x
  2. Step 2: Convert to fraction form
    1,583.52/2,375.29 = 487.88/x
  3. Step 3: Cross multiply
    1,583.52x = 2,375.29 × 487.88
  4. Step 4: Simplify right side
    1,583.52x = 1,158,856.49
  5. Step 5: Solve for x
    x = 1,158,856.49/1,583.52
  6. Step 6: Final answer
    x = 731.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.