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Finding the Fourth Proportional to 711.89, 1,067.78 and 341.97

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Solution

The fourth proportional to 711.89, 1,067.78 and 341.97 is: 512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.89 : 1,067.78 = 341.97 : x
  2. Step 2: Convert to fraction form
    711.89/1,067.78 = 341.97/x
  3. Step 3: Cross multiply
    711.89x = 1,067.78 × 341.97
  4. Step 4: Simplify right side
    711.89x = 365,151.58
  5. Step 5: Solve for x
    x = 365,151.58/711.89
  6. Step 6: Final answer
    x = 512.93

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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.