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Finding the Fourth Proportional to 752.97, 1,129.34 and 205.14

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Solution

The fourth proportional to 752.97, 1,129.34 and 205.14 is: 307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.97 : 1,129.34 = 205.14 : x
  2. Step 2: Convert to fraction form
    752.97/1,129.34 = 205.14/x
  3. Step 3: Cross multiply
    752.97x = 1,129.34 × 205.14
  4. Step 4: Simplify right side
    752.97x = 231,671.78
  5. Step 5: Solve for x
    x = 231,671.78/752.97
  6. Step 6: Final answer
    x = 307.68

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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.