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Finding the Fourth Proportional to 701.97, 967.62 and 480.54

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Solution

The fourth proportional to 701.97, 967.62 and 480.54 is: 662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.97 : 967.62 = 480.54 : x
  2. Step 2: Convert to fraction form
    701.97/967.62 = 480.54/x
  3. Step 3: Cross multiply
    701.97x = 967.62 × 480.54
  4. Step 4: Simplify right side
    701.97x = 464,974.68
  5. Step 5: Solve for x
    x = 464,974.68/701.97
  6. Step 6: Final answer
    x = 662.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.