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Finding the Fourth Proportional to 1,422.91, 1,963.78 and 863.52

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Solution

The fourth proportional to 1,422.91, 1,963.78 and 863.52 is: 1,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.91 : 1,963.78 = 863.52 : x
  2. Step 2: Convert to fraction form
    1,422.91/1,963.78 = 863.52/x
  3. Step 3: Cross multiply
    1,422.91x = 1,963.78 × 863.52
  4. Step 4: Simplify right side
    1,422.91x = 1,695,753.78
  5. Step 5: Solve for x
    x = 1,695,753.78/1,422.91
  6. Step 6: Final answer
    x = 1,191.75

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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.