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Finding the Fourth Proportional to 1,255.37, 1,732.65 and 724.57

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Solution

The fourth proportional to 1,255.37, 1,732.65 and 724.57 is: 1,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.37 : 1,732.65 = 724.57 : x
  2. Step 2: Convert to fraction form
    1,255.37/1,732.65 = 724.57/x
  3. Step 3: Cross multiply
    1,255.37x = 1,732.65 × 724.57
  4. Step 4: Simplify right side
    1,255.37x = 1,255,419.16
  5. Step 5: Solve for x
    x = 1,255,419.16/1,255.37
  6. Step 6: Final answer
    x = 1,000.04

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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.