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Finding the Fourth Proportional to 752.71, 1,128.90 and 218.26

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Solution

The fourth proportional to 752.71, 1,128.90 and 218.26 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.71 : 1,128.90 = 218.26 : x
  2. Step 2: Convert to fraction form
    752.71/1,128.90 = 218.26/x
  3. Step 3: Cross multiply
    752.71x = 1,128.90 × 218.26
  4. Step 4: Simplify right side
    752.71x = 246,390.89
  5. Step 5: Solve for x
    x = 246,390.89/752.71
  6. Step 6: Final answer
    x = 327.34

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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.