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Finding the Fourth Proportional to 1,067.75, 1,601.78 and 337.38

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Solution

The fourth proportional to 1,067.75, 1,601.78 and 337.38 is: 506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.75 : 1,601.78 = 337.38 : x
  2. Step 2: Convert to fraction form
    1,067.75/1,601.78 = 337.38/x
  3. Step 3: Cross multiply
    1,067.75x = 1,601.78 × 337.38
  4. Step 4: Simplify right side
    1,067.75x = 540,400.53
  5. Step 5: Solve for x
    x = 540,400.53/1,067.75
  6. Step 6: Final answer
    x = 506.11

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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.