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Finding the Fourth Proportional to 1,251.39, 1,727.10 and 727.71

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Solution

The fourth proportional to 1,251.39, 1,727.10 and 727.71 is: 1,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.39 : 1,727.10 = 727.71 : x
  2. Step 2: Convert to fraction form
    1,251.39/1,727.10 = 727.71/x
  3. Step 3: Cross multiply
    1,251.39x = 1,727.10 × 727.71
  4. Step 4: Simplify right side
    1,251.39x = 1,256,827.94
  5. Step 5: Solve for x
    x = 1,256,827.94/1,251.39
  6. Step 6: Final answer
    x = 1,004.35

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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.