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Finding the Fourth Proportional to 1,067.73, 1,473.43 and 595.59

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Solution

The fourth proportional to 1,067.73, 1,473.43 and 595.59 is: 821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.73 : 1,473.43 = 595.59 : x
  2. Step 2: Convert to fraction form
    1,067.73/1,473.43 = 595.59/x
  3. Step 3: Cross multiply
    1,067.73x = 1,473.43 × 595.59
  4. Step 4: Simplify right side
    1,067.73x = 877,568.38
  5. Step 5: Solve for x
    x = 877,568.38/1,067.73
  6. Step 6: Final answer
    x = 821.90

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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.