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Finding the Fourth Proportional to 812.57, 1,219.88 and 677.27

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Solution

The fourth proportional to 812.57, 1,219.88 and 677.27 is: 1,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.57 : 1,219.88 = 677.27 : x
  2. Step 2: Convert to fraction form
    812.57/1,219.88 = 677.27/x
  3. Step 3: Cross multiply
    812.57x = 1,219.88 × 677.27
  4. Step 4: Simplify right side
    812.57x = 826,184.74
  5. Step 5: Solve for x
    x = 826,184.74/812.57
  6. Step 6: Final answer
    x = 1,016.76

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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.