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Finding the Fourth Proportional to 752.12, 1,128.03 and 204.23

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Solution

The fourth proportional to 752.12, 1,128.03 and 204.23 is: 306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.12 : 1,128.03 = 204.23 : x
  2. Step 2: Convert to fraction form
    752.12/1,128.03 = 204.23/x
  3. Step 3: Cross multiply
    752.12x = 1,128.03 × 204.23
  4. Step 4: Simplify right side
    752.12x = 230,377.57
  5. Step 5: Solve for x
    x = 230,377.57/752.12
  6. Step 6: Final answer
    x = 306.30

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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.