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Finding the Fourth Proportional to 725.12, 1,087.56 and 212

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Solution

The fourth proportional to 725.12, 1,087.56 and 212 is: 317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.12 : 1,087.56 = 212 : x
  2. Step 2: Convert to fraction form
    725.12/1,087.56 = 212/x
  3. Step 3: Cross multiply
    725.12x = 1,087.56 × 212
  4. Step 4: Simplify right side
    725.12x = 230,562.72
  5. Step 5: Solve for x
    x = 230,562.72/725.12
  6. Step 6: Final answer
    x = 317.96

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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.