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Finding the Fourth Proportional to 1,067.96, 1,473.74 and 595.91

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Solution

The fourth proportional to 1,067.96, 1,473.74 and 595.91 is: 822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.96 : 1,473.74 = 595.91 : x
  2. Step 2: Convert to fraction form
    1,067.96/1,473.74 = 595.91/x
  3. Step 3: Cross multiply
    1,067.96x = 1,473.74 × 595.91
  4. Step 4: Simplify right side
    1,067.96x = 878,216.40
  5. Step 5: Solve for x
    x = 878,216.40/1,067.96
  6. Step 6: Final answer
    x = 822.33

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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.