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Finding the Fourth Proportional to 1,229.42, 1,842.48 and 448.69

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Solution

The fourth proportional to 1,229.42, 1,842.48 and 448.69 is: 672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.42 : 1,842.48 = 448.69 : x
  2. Step 2: Convert to fraction form
    1,229.42/1,842.48 = 448.69/x
  3. Step 3: Cross multiply
    1,229.42x = 1,842.48 × 448.69
  4. Step 4: Simplify right side
    1,229.42x = 826,694.82
  5. Step 5: Solve for x
    x = 826,694.82/1,229.42
  6. Step 6: Final answer
    x = 672.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.