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Finding the Fourth Proportional to 752.12, 1,127.33 and 361.54

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Solution

The fourth proportional to 752.12, 1,127.33 and 361.54 is: 541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.12 : 1,127.33 = 361.54 : x
  2. Step 2: Convert to fraction form
    752.12/1,127.33 = 361.54/x
  3. Step 3: Cross multiply
    752.12x = 1,127.33 × 361.54
  4. Step 4: Simplify right side
    752.12x = 407,573.18
  5. Step 5: Solve for x
    x = 407,573.18/752.12
  6. Step 6: Final answer
    x = 541.90

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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.