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Finding the Fourth Proportional to 1,441.24, 2,159.98 and 660.96

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Solution

The fourth proportional to 1,441.24, 2,159.98 and 660.96 is: 990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.24 : 2,159.98 = 660.96 : x
  2. Step 2: Convert to fraction form
    1,441.24/2,159.98 = 660.96/x
  3. Step 3: Cross multiply
    1,441.24x = 2,159.98 × 660.96
  4. Step 4: Simplify right side
    1,441.24x = 1,427,660.38
  5. Step 5: Solve for x
    x = 1,427,660.38/1,441.24
  6. Step 6: Final answer
    x = 990.58

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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.