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Finding the Fourth Proportional to 1,099.02, 1,648.55 and 449.70

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Solution

The fourth proportional to 1,099.02, 1,648.55 and 449.70 is: 674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.02 : 1,648.55 = 449.70 : x
  2. Step 2: Convert to fraction form
    1,099.02/1,648.55 = 449.70/x
  3. Step 3: Cross multiply
    1,099.02x = 1,648.55 × 449.70
  4. Step 4: Simplify right side
    1,099.02x = 741,352.94
  5. Step 5: Solve for x
    x = 741,352.94/1,099.02
  6. Step 6: Final answer
    x = 674.56

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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.