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Finding the Fourth Proportional to 1,452.57, 2,176.92 and 759.81

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Solution

The fourth proportional to 1,452.57, 2,176.92 and 759.81 is: 1,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.57 : 2,176.92 = 759.81 : x
  2. Step 2: Convert to fraction form
    1,452.57/2,176.92 = 759.81/x
  3. Step 3: Cross multiply
    1,452.57x = 2,176.92 × 759.81
  4. Step 4: Simplify right side
    1,452.57x = 1,654,045.59
  5. Step 5: Solve for x
    x = 1,654,045.59/1,452.57
  6. Step 6: Final answer
    x = 1,138.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.