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Finding the Fourth Proportional to 1,099.39, 1,649.07 and 329.89

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Solution

The fourth proportional to 1,099.39, 1,649.07 and 329.89 is: 494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.39 : 1,649.07 = 329.89 : x
  2. Step 2: Convert to fraction form
    1,099.39/1,649.07 = 329.89/x
  3. Step 3: Cross multiply
    1,099.39x = 1,649.07 × 329.89
  4. Step 4: Simplify right side
    1,099.39x = 544,011.70
  5. Step 5: Solve for x
    x = 544,011.70/1,099.39
  6. Step 6: Final answer
    x = 494.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.