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Finding the Fourth Proportional to 711.72, 1,067.94 and 278.82

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Solution

The fourth proportional to 711.72, 1,067.94 and 278.82 is: 418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.72 : 1,067.94 = 278.82 : x
  2. Step 2: Convert to fraction form
    711.72/1,067.94 = 278.82/x
  3. Step 3: Cross multiply
    711.72x = 1,067.94 × 278.82
  4. Step 4: Simplify right side
    711.72x = 297,763.03
  5. Step 5: Solve for x
    x = 297,763.03/711.72
  6. Step 6: Final answer
    x = 418.37

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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.