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Finding the Fourth Proportional to 732.53, 1,098.80 and 219.53

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Solution

The fourth proportional to 732.53, 1,098.80 and 219.53 is: 329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.53 : 1,098.80 = 219.53 : x
  2. Step 2: Convert to fraction form
    732.53/1,098.80 = 219.53/x
  3. Step 3: Cross multiply
    732.53x = 1,098.80 × 219.53
  4. Step 4: Simplify right side
    732.53x = 241,219.56
  5. Step 5: Solve for x
    x = 241,219.56/732.53
  6. Step 6: Final answer
    x = 329.30

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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.