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Finding the Fourth Proportional to 1,422.68, 1,962.96 and 863.03

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Solution

The fourth proportional to 1,422.68, 1,962.96 and 863.03 is: 1,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.68 : 1,962.96 = 863.03 : x
  2. Step 2: Convert to fraction form
    1,422.68/1,962.96 = 863.03/x
  3. Step 3: Cross multiply
    1,422.68x = 1,962.96 × 863.03
  4. Step 4: Simplify right side
    1,422.68x = 1,694,098.28
  5. Step 5: Solve for x
    x = 1,694,098.28/1,422.68
  6. Step 6: Final answer
    x = 1,190.78

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Why These Related Problems?

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