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Finding the Fourth Proportional to 814.64, 1,221.80 and 267.24

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Solution

The fourth proportional to 814.64, 1,221.80 and 267.24 is: 400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.64 : 1,221.80 = 267.24 : x
  2. Step 2: Convert to fraction form
    814.64/1,221.80 = 267.24/x
  3. Step 3: Cross multiply
    814.64x = 1,221.80 × 267.24
  4. Step 4: Simplify right side
    814.64x = 326,513.83
  5. Step 5: Solve for x
    x = 326,513.83/814.64
  6. Step 6: Final answer
    x = 400.81

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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.