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Finding the Fourth Proportional to 725.32, 1,087.96 and 212.32

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Solution

The fourth proportional to 725.32, 1,087.96 and 212.32 is: 318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.32 : 1,087.96 = 212.32 : x
  2. Step 2: Convert to fraction form
    725.32/1,087.96 = 212.32/x
  3. Step 3: Cross multiply
    725.32x = 1,087.96 × 212.32
  4. Step 4: Simplify right side
    725.32x = 230,995.67
  5. Step 5: Solve for x
    x = 230,995.67/725.32
  6. Step 6: Final answer
    x = 318.47

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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.