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Finding the Fourth Proportional to 1,067.39, 1,473 and 595.31

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Solution

The fourth proportional to 1,067.39, 1,473 and 595.31 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.39 : 1,473 = 595.31 : x
  2. Step 2: Convert to fraction form
    1,067.39/1,473 = 595.31/x
  3. Step 3: Cross multiply
    1,067.39x = 1,473 × 595.31
  4. Step 4: Simplify right side
    1,067.39x = 876,895.31
  5. Step 5: Solve for x
    x = 876,895.31/1,067.39
  6. Step 6: Final answer
    x = 821.54

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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.