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Finding the Fourth Proportional to 815.22, 1,222.83 and 449.91

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Solution

The fourth proportional to 815.22, 1,222.83 and 449.91 is: 674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.22 : 1,222.83 = 449.91 : x
  2. Step 2: Convert to fraction form
    815.22/1,222.83 = 449.91/x
  3. Step 3: Cross multiply
    815.22x = 1,222.83 × 449.91
  4. Step 4: Simplify right side
    815.22x = 550,163.45
  5. Step 5: Solve for x
    x = 550,163.45/815.22
  6. Step 6: Final answer
    x = 674.87

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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.