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Finding the Fourth Proportional to 1,169.75, 1,754.28 and 963.81

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Solution

The fourth proportional to 1,169.75, 1,754.28 and 963.81 is: 1,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.75 : 1,754.28 = 963.81 : x
  2. Step 2: Convert to fraction form
    1,169.75/1,754.28 = 963.81/x
  3. Step 3: Cross multiply
    1,169.75x = 1,754.28 × 963.81
  4. Step 4: Simplify right side
    1,169.75x = 1,690,792.61
  5. Step 5: Solve for x
    x = 1,690,792.61/1,169.75
  6. Step 6: Final answer
    x = 1,445.43

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