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Finding the Fourth Proportional to 1,103.26, 1,651.96 and 863.41

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Solution

The fourth proportional to 1,103.26, 1,651.96 and 863.41 is: 1,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.26 : 1,651.96 = 863.41 : x
  2. Step 2: Convert to fraction form
    1,103.26/1,651.96 = 863.41/x
  3. Step 3: Cross multiply
    1,103.26x = 1,651.96 × 863.41
  4. Step 4: Simplify right side
    1,103.26x = 1,426,318.78
  5. Step 5: Solve for x
    x = 1,426,318.78/1,103.26
  6. Step 6: Final answer
    x = 1,292.82

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Why These Related Problems?

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