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Finding the Fourth Proportional to 1,099.36, 1,648.88 and 329.84

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Solution

The fourth proportional to 1,099.36, 1,648.88 and 329.84 is: 494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.36 : 1,648.88 = 329.84 : x
  2. Step 2: Convert to fraction form
    1,099.36/1,648.88 = 329.84/x
  3. Step 3: Cross multiply
    1,099.36x = 1,648.88 × 329.84
  4. Step 4: Simplify right side
    1,099.36x = 543,866.58
  5. Step 5: Solve for x
    x = 543,866.58/1,099.36
  6. Step 6: Final answer
    x = 494.71

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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.