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Finding the Fourth Proportional to 755.17, 1,131.84 and 344.20

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Solution

The fourth proportional to 755.17, 1,131.84 and 344.20 is: 515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.17 : 1,131.84 = 344.20 : x
  2. Step 2: Convert to fraction form
    755.17/1,131.84 = 344.20/x
  3. Step 3: Cross multiply
    755.17x = 1,131.84 × 344.20
  4. Step 4: Simplify right side
    755.17x = 389,579.33
  5. Step 5: Solve for x
    x = 389,579.33/755.17
  6. Step 6: Final answer
    x = 515.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.