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Finding the Fourth Proportional to 1,251.15, 1,726.73 and 727.18

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Solution

The fourth proportional to 1,251.15, 1,726.73 and 727.18 is: 1,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.15 : 1,726.73 = 727.18 : x
  2. Step 2: Convert to fraction form
    1,251.15/1,726.73 = 727.18/x
  3. Step 3: Cross multiply
    1,251.15x = 1,726.73 × 727.18
  4. Step 4: Simplify right side
    1,251.15x = 1,255,638.30
  5. Step 5: Solve for x
    x = 1,255,638.30/1,251.15
  6. Step 6: Final answer
    x = 1,003.59

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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.