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Finding the Fourth Proportional to 1,327.27, 1,990.88 and 449.58

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Solution

The fourth proportional to 1,327.27, 1,990.88 and 449.58 is: 674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.27 : 1,990.88 = 449.58 : x
  2. Step 2: Convert to fraction form
    1,327.27/1,990.88 = 449.58/x
  3. Step 3: Cross multiply
    1,327.27x = 1,990.88 × 449.58
  4. Step 4: Simplify right side
    1,327.27x = 895,059.83
  5. Step 5: Solve for x
    x = 895,059.83/1,327.27
  6. Step 6: Final answer
    x = 674.36

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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.