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Finding the Fourth Proportional to 752.46, 1,127.76 and 426.84

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Solution

The fourth proportional to 752.46, 1,127.76 and 426.84 is: 639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.46 : 1,127.76 = 426.84 : x
  2. Step 2: Convert to fraction form
    752.46/1,127.76 = 426.84/x
  3. Step 3: Cross multiply
    752.46x = 1,127.76 × 426.84
  4. Step 4: Simplify right side
    752.46x = 481,373.08
  5. Step 5: Solve for x
    x = 481,373.08/752.46
  6. Step 6: Final answer
    x = 639.73

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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.