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Finding the Fourth Proportional to 1,118.28, 1,544.04 and 725.52

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Solution

The fourth proportional to 1,118.28, 1,544.04 and 725.52 is: 1,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.28 : 1,544.04 = 725.52 : x
  2. Step 2: Convert to fraction form
    1,118.28/1,544.04 = 725.52/x
  3. Step 3: Cross multiply
    1,118.28x = 1,544.04 × 725.52
  4. Step 4: Simplify right side
    1,118.28x = 1,120,231.90
  5. Step 5: Solve for x
    x = 1,120,231.90/1,118.28
  6. Step 6: Final answer
    x = 1,001.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.