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Finding the Fourth Proportional to 754.34, 1,131.45 and 234.32

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Solution

The fourth proportional to 754.34, 1,131.45 and 234.32 is: 351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.34 : 1,131.45 = 234.32 : x
  2. Step 2: Convert to fraction form
    754.34/1,131.45 = 234.32/x
  3. Step 3: Cross multiply
    754.34x = 1,131.45 × 234.32
  4. Step 4: Simplify right side
    754.34x = 265,121.36
  5. Step 5: Solve for x
    x = 265,121.36/754.34
  6. Step 6: Final answer
    x = 351.46

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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.