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Finding the Fourth Proportional to 712.46, 1,067.25 and 346.97

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Solution

The fourth proportional to 712.46, 1,067.25 and 346.97 is: 519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.46 : 1,067.25 = 346.97 : x
  2. Step 2: Convert to fraction form
    712.46/1,067.25 = 346.97/x
  3. Step 3: Cross multiply
    712.46x = 1,067.25 × 346.97
  4. Step 4: Simplify right side
    712.46x = 370,303.73
  5. Step 5: Solve for x
    x = 370,303.73/712.46
  6. Step 6: Final answer
    x = 519.75

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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.