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Finding the Fourth Proportional to 814.80, 1,221.12 and 352.20

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Solution

The fourth proportional to 814.80, 1,221.12 and 352.20 is: 527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.80 : 1,221.12 = 352.20 : x
  2. Step 2: Convert to fraction form
    814.80/1,221.12 = 352.20/x
  3. Step 3: Cross multiply
    814.80x = 1,221.12 × 352.20
  4. Step 4: Simplify right side
    814.80x = 430,078.46
  5. Step 5: Solve for x
    x = 430,078.46/814.80
  6. Step 6: Final answer
    x = 527.83

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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.