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Finding the Fourth Proportional to 814.57, 1,222.13 and 267.13

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Solution

The fourth proportional to 814.57, 1,222.13 and 267.13 is: 400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.57 : 1,222.13 = 267.13 : x
  2. Step 2: Convert to fraction form
    814.57/1,222.13 = 267.13/x
  3. Step 3: Cross multiply
    814.57x = 1,222.13 × 267.13
  4. Step 4: Simplify right side
    814.57x = 326,467.59
  5. Step 5: Solve for x
    x = 326,467.59/814.57
  6. Step 6: Final answer
    x = 400.79

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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.