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Finding the Fourth Proportional to 1,247.13, 1,872.09 and 727.74

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Solution

The fourth proportional to 1,247.13, 1,872.09 and 727.74 is: 1,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.13 : 1,872.09 = 727.74 : x
  2. Step 2: Convert to fraction form
    1,247.13/1,872.09 = 727.74/x
  3. Step 3: Cross multiply
    1,247.13x = 1,872.09 × 727.74
  4. Step 4: Simplify right side
    1,247.13x = 1,362,394.78
  5. Step 5: Solve for x
    x = 1,362,394.78/1,247.13
  6. Step 6: Final answer
    x = 1,092.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.