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Finding the Fourth Proportional to 1,440.96, 2,161.20 and 660.96

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Solution

The fourth proportional to 1,440.96, 2,161.20 and 660.96 is: 991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.96 : 2,161.20 = 660.96 : x
  2. Step 2: Convert to fraction form
    1,440.96/2,161.20 = 660.96/x
  3. Step 3: Cross multiply
    1,440.96x = 2,161.20 × 660.96
  4. Step 4: Simplify right side
    1,440.96x = 1,428,466.75
  5. Step 5: Solve for x
    x = 1,428,466.75/1,440.96
  6. Step 6: Final answer
    x = 991.33

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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.