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Finding the Fourth Proportional to 1,067.75, 1,600.23 and 547.31

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Solution

The fourth proportional to 1,067.75, 1,600.23 and 547.31 is: 820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.75 : 1,600.23 = 547.31 : x
  2. Step 2: Convert to fraction form
    1,067.75/1,600.23 = 547.31/x
  3. Step 3: Cross multiply
    1,067.75x = 1,600.23 × 547.31
  4. Step 4: Simplify right side
    1,067.75x = 875,813.88
  5. Step 5: Solve for x
    x = 875,813.88/1,067.75
  6. Step 6: Final answer
    x = 820.25

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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.