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Finding the Fourth Proportional to 752.16, 1,127.64 and 361.96

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Solution

The fourth proportional to 752.16, 1,127.64 and 361.96 is: 542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.16 : 1,127.64 = 361.96 : x
  2. Step 2: Convert to fraction form
    752.16/1,127.64 = 361.96/x
  3. Step 3: Cross multiply
    752.16x = 1,127.64 × 361.96
  4. Step 4: Simplify right side
    752.16x = 408,160.57
  5. Step 5: Solve for x
    x = 408,160.57/752.16
  6. Step 6: Final answer
    x = 542.65

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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.