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Finding the Fourth Proportional to 1,099.32, 1,648.98 and 330.36

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Solution

The fourth proportional to 1,099.32, 1,648.98 and 330.36 is: 495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.32 : 1,648.98 = 330.36 : x
  2. Step 2: Convert to fraction form
    1,099.32/1,648.98 = 330.36/x
  3. Step 3: Cross multiply
    1,099.32x = 1,648.98 × 330.36
  4. Step 4: Simplify right side
    1,099.32x = 544,757.03
  5. Step 5: Solve for x
    x = 544,757.03/1,099.32
  6. Step 6: Final answer
    x = 495.54

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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.