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Finding the Fourth Proportional to 725.25, 1,087.50 and 292.29

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Solution

The fourth proportional to 725.25, 1,087.50 and 292.29 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.25 : 1,087.50 = 292.29 : x
  2. Step 2: Convert to fraction form
    725.25/1,087.50 = 292.29/x
  3. Step 3: Cross multiply
    725.25x = 1,087.50 × 292.29
  4. Step 4: Simplify right side
    725.25x = 317,865.38
  5. Step 5: Solve for x
    x = 317,865.38/725.25
  6. Step 6: Final answer
    x = 438.28

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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.