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Finding the Fourth Proportional to 1,063.28, 1,463.98 and 966.08

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Solution

The fourth proportional to 1,063.28, 1,463.98 and 966.08 is: 1,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.28 : 1,463.98 = 966.08 : x
  2. Step 2: Convert to fraction form
    1,063.28/1,463.98 = 966.08/x
  3. Step 3: Cross multiply
    1,063.28x = 1,463.98 × 966.08
  4. Step 4: Simplify right side
    1,063.28x = 1,414,321.80
  5. Step 5: Solve for x
    x = 1,414,321.80/1,063.28
  6. Step 6: Final answer
    x = 1,330.15

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