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Finding the Fourth Proportional to 748.40, 1,122.65 and 200.57

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Solution

The fourth proportional to 748.40, 1,122.65 and 200.57 is: 300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.40 : 1,122.65 = 200.57 : x
  2. Step 2: Convert to fraction form
    748.40/1,122.65 = 200.57/x
  3. Step 3: Cross multiply
    748.40x = 1,122.65 × 200.57
  4. Step 4: Simplify right side
    748.40x = 225,163.29
  5. Step 5: Solve for x
    x = 225,163.29/748.40
  6. Step 6: Final answer
    x = 300.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.