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Finding the Fourth Proportional to 1,660.80, 2,491.16 and 506.56

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Solution

The fourth proportional to 1,660.80, 2,491.16 and 506.56 is: 759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.80 : 2,491.16 = 506.56 : x
  2. Step 2: Convert to fraction form
    1,660.80/2,491.16 = 506.56/x
  3. Step 3: Cross multiply
    1,660.80x = 2,491.16 × 506.56
  4. Step 4: Simplify right side
    1,660.80x = 1,261,922.01
  5. Step 5: Solve for x
    x = 1,261,922.01/1,660.80
  6. Step 6: Final answer
    x = 759.83

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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.