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Finding the Fourth Proportional to 752.78, 1,129.17 and 341.81

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Solution

The fourth proportional to 752.78, 1,129.17 and 341.81 is: 512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.78 : 1,129.17 = 341.81 : x
  2. Step 2: Convert to fraction form
    752.78/1,129.17 = 341.81/x
  3. Step 3: Cross multiply
    752.78x = 1,129.17 × 341.81
  4. Step 4: Simplify right side
    752.78x = 385,955.95
  5. Step 5: Solve for x
    x = 385,955.95/752.78
  6. Step 6: Final answer
    x = 512.71

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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.