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Finding the Fourth Proportional to 1,098.91, 1,648.37 and 329.41

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Solution

The fourth proportional to 1,098.91, 1,648.37 and 329.41 is: 494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.91 : 1,648.37 = 329.41 : x
  2. Step 2: Convert to fraction form
    1,098.91/1,648.37 = 329.41/x
  3. Step 3: Cross multiply
    1,098.91x = 1,648.37 × 329.41
  4. Step 4: Simplify right side
    1,098.91x = 542,989.56
  5. Step 5: Solve for x
    x = 542,989.56/1,098.91
  6. Step 6: Final answer
    x = 494.12

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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.