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Finding the Fourth Proportional to 752.69, 1,128.83 and 232.56

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Solution

The fourth proportional to 752.69, 1,128.83 and 232.56 is: 348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.69 : 1,128.83 = 232.56 : x
  2. Step 2: Convert to fraction form
    752.69/1,128.83 = 232.56/x
  3. Step 3: Cross multiply
    752.69x = 1,128.83 × 232.56
  4. Step 4: Simplify right side
    752.69x = 262,520.70
  5. Step 5: Solve for x
    x = 262,520.70/752.69
  6. Step 6: Final answer
    x = 348.78

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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.