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Finding the Fourth Proportional to 754.09, 1,131.18 and 234.13

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Solution

The fourth proportional to 754.09, 1,131.18 and 234.13 is: 351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.09 : 1,131.18 = 234.13 : x
  2. Step 2: Convert to fraction form
    754.09/1,131.18 = 234.13/x
  3. Step 3: Cross multiply
    754.09x = 1,131.18 × 234.13
  4. Step 4: Simplify right side
    754.09x = 264,843.17
  5. Step 5: Solve for x
    x = 264,843.17/754.09
  6. Step 6: Final answer
    x = 351.21

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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.