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Finding the Fourth Proportional to 814.06, 1,222.17 and 449.02

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Solution

The fourth proportional to 814.06, 1,222.17 and 449.02 is: 674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.06 : 1,222.17 = 449.02 : x
  2. Step 2: Convert to fraction form
    814.06/1,222.17 = 449.02/x
  3. Step 3: Cross multiply
    814.06x = 1,222.17 × 449.02
  4. Step 4: Simplify right side
    814.06x = 548,778.77
  5. Step 5: Solve for x
    x = 548,778.77/814.06
  6. Step 6: Final answer
    x = 674.13

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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.