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Finding the Fourth Proportional to 1,251.92, 1,728.24 and 727.76

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Solution

The fourth proportional to 1,251.92, 1,728.24 and 727.76 is: 1,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.92 : 1,728.24 = 727.76 : x
  2. Step 2: Convert to fraction form
    1,251.92/1,728.24 = 727.76/x
  3. Step 3: Cross multiply
    1,251.92x = 1,728.24 × 727.76
  4. Step 4: Simplify right side
    1,251.92x = 1,257,743.94
  5. Step 5: Solve for x
    x = 1,257,743.94/1,251.92
  6. Step 6: Final answer
    x = 1,004.65

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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.