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Finding the Fourth Proportional to 1,099.08, 1,649.34 and 449.82

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Solution

The fourth proportional to 1,099.08, 1,649.34 and 449.82 is: 675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.08 : 1,649.34 = 449.82 : x
  2. Step 2: Convert to fraction form
    1,099.08/1,649.34 = 449.82/x
  3. Step 3: Cross multiply
    1,099.08x = 1,649.34 × 449.82
  4. Step 4: Simplify right side
    1,099.08x = 741,906.12
  5. Step 5: Solve for x
    x = 741,906.12/1,099.08
  6. Step 6: Final answer
    x = 675.02

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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.