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Finding the Fourth Proportional to 1,593.52, 2,198.79 and 963.90

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Solution

The fourth proportional to 1,593.52, 2,198.79 and 963.90 is: 1,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.52 : 2,198.79 = 963.90 : x
  2. Step 2: Convert to fraction form
    1,593.52/2,198.79 = 963.90/x
  3. Step 3: Cross multiply
    1,593.52x = 2,198.79 × 963.90
  4. Step 4: Simplify right side
    1,593.52x = 2,119,419.96
  5. Step 5: Solve for x
    x = 2,119,419.96/1,593.52
  6. Step 6: Final answer
    x = 1,330.02

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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.