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Finding the Fourth Proportional to 711.73, 1,067.61 and 198.73

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Solution

The fourth proportional to 711.73, 1,067.61 and 198.73 is: 298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.73 : 1,067.61 = 198.73 : x
  2. Step 2: Convert to fraction form
    711.73/1,067.61 = 198.73/x
  3. Step 3: Cross multiply
    711.73x = 1,067.61 × 198.73
  4. Step 4: Simplify right side
    711.73x = 212,166.14
  5. Step 5: Solve for x
    x = 212,166.14/711.73
  6. Step 6: Final answer
    x = 298.10

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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.