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Finding the Fourth Proportional to 1,251.09, 1,726.20 and 727.02

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Solution

The fourth proportional to 1,251.09, 1,726.20 and 727.02 is: 1,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.09 : 1,726.20 = 727.02 : x
  2. Step 2: Convert to fraction form
    1,251.09/1,726.20 = 727.02/x
  3. Step 3: Cross multiply
    1,251.09x = 1,726.20 × 727.02
  4. Step 4: Simplify right side
    1,251.09x = 1,254,981.92
  5. Step 5: Solve for x
    x = 1,254,981.92/1,251.09
  6. Step 6: Final answer
    x = 1,003.11

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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.