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Finding the Fourth Proportional to 1,251.57, 1,727.27 and 727.57

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Solution

The fourth proportional to 1,251.57, 1,727.27 and 727.57 is: 1,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.57 : 1,727.27 = 727.57 : x
  2. Step 2: Convert to fraction form
    1,251.57/1,727.27 = 727.57/x
  3. Step 3: Cross multiply
    1,251.57x = 1,727.27 × 727.57
  4. Step 4: Simplify right side
    1,251.57x = 1,256,709.83
  5. Step 5: Solve for x
    x = 1,256,709.83/1,251.57
  6. Step 6: Final answer
    x = 1,004.11

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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.