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Finding the Fourth Proportional to 752.09, 1,128.18 and 232.13

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Solution

The fourth proportional to 752.09, 1,128.18 and 232.13 is: 348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.09 : 1,128.18 = 232.13 : x
  2. Step 2: Convert to fraction form
    752.09/1,128.18 = 232.13/x
  3. Step 3: Cross multiply
    752.09x = 1,128.18 × 232.13
  4. Step 4: Simplify right side
    752.09x = 261,886.81
  5. Step 5: Solve for x
    x = 261,886.81/752.09
  6. Step 6: Final answer
    x = 348.21

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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.