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Finding the Fourth Proportional to 711.76, 1,067.62 and 198.76

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Solution

The fourth proportional to 711.76, 1,067.62 and 198.76 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.76 : 1,067.62 = 198.76 : x
  2. Step 2: Convert to fraction form
    711.76/1,067.62 = 198.76/x
  3. Step 3: Cross multiply
    711.76x = 1,067.62 × 198.76
  4. Step 4: Simplify right side
    711.76x = 212,200.15
  5. Step 5: Solve for x
    x = 212,200.15/711.76
  6. Step 6: Final answer
    x = 298.13

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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.