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Finding the Fourth Proportional to 712.67, 1,069.14 and 250.43

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Solution

The fourth proportional to 712.67, 1,069.14 and 250.43 is: 375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.67 : 1,069.14 = 250.43 : x
  2. Step 2: Convert to fraction form
    712.67/1,069.14 = 250.43/x
  3. Step 3: Cross multiply
    712.67x = 1,069.14 × 250.43
  4. Step 4: Simplify right side
    712.67x = 267,744.73
  5. Step 5: Solve for x
    x = 267,744.73/712.67
  6. Step 6: Final answer
    x = 375.69

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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.