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Finding the Fourth Proportional to 1,067.93, 1,601.94 and 337.58

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Solution

The fourth proportional to 1,067.93, 1,601.94 and 337.58 is: 506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.93 : 1,601.94 = 337.58 : x
  2. Step 2: Convert to fraction form
    1,067.93/1,601.94 = 337.58/x
  3. Step 3: Cross multiply
    1,067.93x = 1,601.94 × 337.58
  4. Step 4: Simplify right side
    1,067.93x = 540,782.91
  5. Step 5: Solve for x
    x = 540,782.91/1,067.93
  6. Step 6: Final answer
    x = 506.38

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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.