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Finding the Fourth Proportional to 1,099.03, 1,648.19 and 449.95

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Solution

The fourth proportional to 1,099.03, 1,648.19 and 449.95 is: 674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.03 : 1,648.19 = 449.95 : x
  2. Step 2: Convert to fraction form
    1,099.03/1,648.19 = 449.95/x
  3. Step 3: Cross multiply
    1,099.03x = 1,648.19 × 449.95
  4. Step 4: Simplify right side
    1,099.03x = 741,600.84
  5. Step 5: Solve for x
    x = 741,600.84/1,099.03
  6. Step 6: Final answer
    x = 674.78

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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.