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Finding the Fourth Proportional to 1,067.50, 1,601.25 and 337.10

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Solution

The fourth proportional to 1,067.50, 1,601.25 and 337.10 is: 505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.50 : 1,601.25 = 337.10 : x
  2. Step 2: Convert to fraction form
    1,067.50/1,601.25 = 337.10/x
  3. Step 3: Cross multiply
    1,067.50x = 1,601.25 × 337.10
  4. Step 4: Simplify right side
    1,067.50x = 539,781.38
  5. Step 5: Solve for x
    x = 539,781.38/1,067.50
  6. Step 6: Final answer
    x = 505.65

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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.