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Finding the Fourth Proportional to 818.60, 1,227.96 and 271.17

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Solution

The fourth proportional to 818.60, 1,227.96 and 271.17 is: 406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.60 : 1,227.96 = 271.17 : x
  2. Step 2: Convert to fraction form
    818.60/1,227.96 = 271.17/x
  3. Step 3: Cross multiply
    818.60x = 1,227.96 × 271.17
  4. Step 4: Simplify right side
    818.60x = 332,979.10
  5. Step 5: Solve for x
    x = 332,979.10/818.60
  6. Step 6: Final answer
    x = 406.77

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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.