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Finding the Fourth Proportional to 1,067.62, 1,600.95 and 327.01

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Solution

The fourth proportional to 1,067.62, 1,600.95 and 327.01 is: 490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.62 : 1,600.95 = 327.01 : x
  2. Step 2: Convert to fraction form
    1,067.62/1,600.95 = 327.01/x
  3. Step 3: Cross multiply
    1,067.62x = 1,600.95 × 327.01
  4. Step 4: Simplify right side
    1,067.62x = 523,518.65
  5. Step 5: Solve for x
    x = 523,518.65/1,067.62
  6. Step 6: Final answer
    x = 490.36

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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.