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Finding the Fourth Proportional to 752.04, 1,127.77 and 361.79

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Solution

The fourth proportional to 752.04, 1,127.77 and 361.79 is: 542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.04 : 1,127.77 = 361.79 : x
  2. Step 2: Convert to fraction form
    752.04/1,127.77 = 361.79/x
  3. Step 3: Cross multiply
    752.04x = 1,127.77 × 361.79
  4. Step 4: Simplify right side
    752.04x = 408,014.10
  5. Step 5: Solve for x
    x = 408,014.10/752.04
  6. Step 6: Final answer
    x = 542.55

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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.