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Finding the Fourth Proportional to 1,067.40, 1,472.97 and 595.27

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Solution

The fourth proportional to 1,067.40, 1,472.97 and 595.27 is: 821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.40 : 1,472.97 = 595.27 : x
  2. Step 2: Convert to fraction form
    1,067.40/1,472.97 = 595.27/x
  3. Step 3: Cross multiply
    1,067.40x = 1,472.97 × 595.27
  4. Step 4: Simplify right side
    1,067.40x = 876,814.85
  5. Step 5: Solve for x
    x = 876,814.85/1,067.40
  6. Step 6: Final answer
    x = 821.45

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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.