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Finding the Fourth Proportional to 1,098.52, 1,648.02 and 329

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Solution

The fourth proportional to 1,098.52, 1,648.02 and 329 is: 493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.52 : 1,648.02 = 329 : x
  2. Step 2: Convert to fraction form
    1,098.52/1,648.02 = 329/x
  3. Step 3: Cross multiply
    1,098.52x = 1,648.02 × 329
  4. Step 4: Simplify right side
    1,098.52x = 542,198.58
  5. Step 5: Solve for x
    x = 542,198.58/1,098.52
  6. Step 6: Final answer
    x = 493.57

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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.