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Finding the Fourth Proportional to 1,067.20, 1,472.73 and 595.09

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Solution

The fourth proportional to 1,067.20, 1,472.73 and 595.09 is: 821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.20 : 1,472.73 = 595.09 : x
  2. Step 2: Convert to fraction form
    1,067.20/1,472.73 = 595.09/x
  3. Step 3: Cross multiply
    1,067.20x = 1,472.73 × 595.09
  4. Step 4: Simplify right side
    1,067.20x = 876,406.90
  5. Step 5: Solve for x
    x = 876,406.90/1,067.20
  6. Step 6: Final answer
    x = 821.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.