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Finding the Fourth Proportional to 711.92, 1,067.75 and 224.86

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Solution

The fourth proportional to 711.92, 1,067.75 and 224.86 is: 337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 1,067.75 = 224.86 : x
  2. Step 2: Convert to fraction form
    711.92/1,067.75 = 224.86/x
  3. Step 3: Cross multiply
    711.92x = 1,067.75 × 224.86
  4. Step 4: Simplify right side
    711.92x = 240,094.27
  5. Step 5: Solve for x
    x = 240,094.27/711.92
  6. Step 6: Final answer
    x = 337.25

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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.