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Finding the Fourth Proportional to 752.68, 1,128.96 and 265.84

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Solution

The fourth proportional to 752.68, 1,128.96 and 265.84 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.68 : 1,128.96 = 265.84 : x
  2. Step 2: Convert to fraction form
    752.68/1,128.96 = 265.84/x
  3. Step 3: Cross multiply
    752.68x = 1,128.96 × 265.84
  4. Step 4: Simplify right side
    752.68x = 300,122.73
  5. Step 5: Solve for x
    x = 300,122.73/752.68
  6. Step 6: Final answer
    x = 398.74

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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.