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Finding the Fourth Proportional to 812.90, 1,219.16 and 227.78

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Solution

The fourth proportional to 812.90, 1,219.16 and 227.78 is: 341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.90 : 1,219.16 = 227.78 : x
  2. Step 2: Convert to fraction form
    812.90/1,219.16 = 227.78/x
  3. Step 3: Cross multiply
    812.90x = 1,219.16 × 227.78
  4. Step 4: Simplify right side
    812.90x = 277,694.74
  5. Step 5: Solve for x
    x = 277,694.74/812.90
  6. Step 6: Final answer
    x = 341.61

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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.