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Finding the Fourth Proportional to 1,096.53, 1,644.18 and 966.82

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Solution

The fourth proportional to 1,096.53, 1,644.18 and 966.82 is: 1,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.53 : 1,644.18 = 966.82 : x
  2. Step 2: Convert to fraction form
    1,096.53/1,644.18 = 966.82/x
  3. Step 3: Cross multiply
    1,096.53x = 1,644.18 × 966.82
  4. Step 4: Simplify right side
    1,096.53x = 1,589,626.11
  5. Step 5: Solve for x
    x = 1,589,626.11/1,096.53
  6. Step 6: Final answer
    x = 1,449.69

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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.