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Finding the Fourth Proportional to 1,169.82, 1,754.39 and 963.88

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Solution

The fourth proportional to 1,169.82, 1,754.39 and 963.88 is: 1,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.82 : 1,754.39 = 963.88 : x
  2. Step 2: Convert to fraction form
    1,169.82/1,754.39 = 963.88/x
  3. Step 3: Cross multiply
    1,169.82x = 1,754.39 × 963.88
  4. Step 4: Simplify right side
    1,169.82x = 1,691,014.04
  5. Step 5: Solve for x
    x = 1,691,014.04/1,169.82
  6. Step 6: Final answer
    x = 1,445.53

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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.