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Finding the Fourth Proportional to 755.14, 1,131.70 and 344

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Solution

The fourth proportional to 755.14, 1,131.70 and 344 is: 515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.14 : 1,131.70 = 344 : x
  2. Step 2: Convert to fraction form
    755.14/1,131.70 = 344/x
  3. Step 3: Cross multiply
    755.14x = 1,131.70 × 344
  4. Step 4: Simplify right side
    755.14x = 389,304.80
  5. Step 5: Solve for x
    x = 389,304.80/755.14
  6. Step 6: Final answer
    x = 515.54

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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.