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Finding the Fourth Proportional to 1,411.27, 1,947.55 and 781.79

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Solution

The fourth proportional to 1,411.27, 1,947.55 and 781.79 is: 1,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.27 : 1,947.55 = 781.79 : x
  2. Step 2: Convert to fraction form
    1,411.27/1,947.55 = 781.79/x
  3. Step 3: Cross multiply
    1,411.27x = 1,947.55 × 781.79
  4. Step 4: Simplify right side
    1,411.27x = 1,522,578.57
  5. Step 5: Solve for x
    x = 1,522,578.57/1,411.27
  6. Step 6: Final answer
    x = 1,078.87

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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.