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Finding the Fourth Proportional to 1,118.54, 1,544.04 and 726.71

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Solution

The fourth proportional to 1,118.54, 1,544.04 and 726.71 is: 1,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.54 : 1,544.04 = 726.71 : x
  2. Step 2: Convert to fraction form
    1,118.54/1,544.04 = 726.71/x
  3. Step 3: Cross multiply
    1,118.54x = 1,544.04 × 726.71
  4. Step 4: Simplify right side
    1,118.54x = 1,122,061.59
  5. Step 5: Solve for x
    x = 1,122,061.59/1,118.54
  6. Step 6: Final answer
    x = 1,003.15

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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.