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Finding the Fourth Proportional to 752.39, 1,128.45 and 341.43

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Solution

The fourth proportional to 752.39, 1,128.45 and 341.43 is: 512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.39 : 1,128.45 = 341.43 : x
  2. Step 2: Convert to fraction form
    752.39/1,128.45 = 341.43/x
  3. Step 3: Cross multiply
    752.39x = 1,128.45 × 341.43
  4. Step 4: Simplify right side
    752.39x = 385,286.68
  5. Step 5: Solve for x
    x = 385,286.68/752.39
  6. Step 6: Final answer
    x = 512.08

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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.