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Finding the Fourth Proportional to 1,452.25, 2,178.92 and 758.89

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Solution

The fourth proportional to 1,452.25, 2,178.92 and 758.89 is: 1,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.25 : 2,178.92 = 758.89 : x
  2. Step 2: Convert to fraction form
    1,452.25/2,178.92 = 758.89/x
  3. Step 3: Cross multiply
    1,452.25x = 2,178.92 × 758.89
  4. Step 4: Simplify right side
    1,452.25x = 1,653,560.60
  5. Step 5: Solve for x
    x = 1,653,560.60/1,452.25
  6. Step 6: Final answer
    x = 1,138.62

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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.