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Finding the Fourth Proportional to 1,251.56, 1,727.16 and 727.59

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Solution

The fourth proportional to 1,251.56, 1,727.16 and 727.59 is: 1,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.56 : 1,727.16 = 727.59 : x
  2. Step 2: Convert to fraction form
    1,251.56/1,727.16 = 727.59/x
  3. Step 3: Cross multiply
    1,251.56x = 1,727.16 × 727.59
  4. Step 4: Simplify right side
    1,251.56x = 1,256,668.09
  5. Step 5: Solve for x
    x = 1,256,668.09/1,251.56
  6. Step 6: Final answer
    x = 1,004.08

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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.