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Finding the Fourth Proportional to 748.38, 1,122.53 and 200.54

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Solution

The fourth proportional to 748.38, 1,122.53 and 200.54 is: 300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.38 : 1,122.53 = 200.54 : x
  2. Step 2: Convert to fraction form
    748.38/1,122.53 = 200.54/x
  3. Step 3: Cross multiply
    748.38x = 1,122.53 × 200.54
  4. Step 4: Simplify right side
    748.38x = 225,105.55
  5. Step 5: Solve for x
    x = 225,105.55/748.38
  6. Step 6: Final answer
    x = 300.79

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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.