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Finding the Fourth Proportional to 748.80, 1,122.71 and 337.37

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Solution

The fourth proportional to 748.80, 1,122.71 and 337.37 is: 505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.80 : 1,122.71 = 337.37 : x
  2. Step 2: Convert to fraction form
    748.80/1,122.71 = 337.37/x
  3. Step 3: Cross multiply
    748.80x = 1,122.71 × 337.37
  4. Step 4: Simplify right side
    748.80x = 378,761.37
  5. Step 5: Solve for x
    x = 378,761.37/748.80
  6. Step 6: Final answer
    x = 505.82

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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.