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Finding the Fourth Proportional to 1,067.63, 1,601.62 and 337.15

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Solution

The fourth proportional to 1,067.63, 1,601.62 and 337.15 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.63 : 1,601.62 = 337.15 : x
  2. Step 2: Convert to fraction form
    1,067.63/1,601.62 = 337.15/x
  3. Step 3: Cross multiply
    1,067.63x = 1,601.62 × 337.15
  4. Step 4: Simplify right side
    1,067.63x = 539,987.34
  5. Step 5: Solve for x
    x = 539,987.34/1,067.63
  6. Step 6: Final answer
    x = 505.78

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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.