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Finding the Fourth Proportional to 969.72, 1,452.12 and 763.20

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Solution

The fourth proportional to 969.72, 1,452.12 and 763.20 is: 1,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.72 : 1,452.12 = 763.20 : x
  2. Step 2: Convert to fraction form
    969.72/1,452.12 = 763.20/x
  3. Step 3: Cross multiply
    969.72x = 1,452.12 × 763.20
  4. Step 4: Simplify right side
    969.72x = 1,108,257.98
  5. Step 5: Solve for x
    x = 1,108,257.98/969.72
  6. Step 6: Final answer
    x = 1,142.86

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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.