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Finding the Fourth Proportional to 1,099.91, 1,649.56 and 441.78

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Solution

The fourth proportional to 1,099.91, 1,649.56 and 441.78 is: 662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.91 : 1,649.56 = 441.78 : x
  2. Step 2: Convert to fraction form
    1,099.91/1,649.56 = 441.78/x
  3. Step 3: Cross multiply
    1,099.91x = 1,649.56 × 441.78
  4. Step 4: Simplify right side
    1,099.91x = 728,745.64
  5. Step 5: Solve for x
    x = 728,745.64/1,099.91
  6. Step 6: Final answer
    x = 662.55

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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.