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Finding the Fourth Proportional to 1,251.24, 1,727.14 and 727.72

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Solution

The fourth proportional to 1,251.24, 1,727.14 and 727.72 is: 1,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.24 : 1,727.14 = 727.72 : x
  2. Step 2: Convert to fraction form
    1,251.24/1,727.14 = 727.72/x
  3. Step 3: Cross multiply
    1,251.24x = 1,727.14 × 727.72
  4. Step 4: Simplify right side
    1,251.24x = 1,256,874.32
  5. Step 5: Solve for x
    x = 1,256,874.32/1,251.24
  6. Step 6: Final answer
    x = 1,004.50

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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.