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Finding the Fourth Proportional to 1,169.41, 1,760.45 and 1,067.35

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Solution

The fourth proportional to 1,169.41, 1,760.45 and 1,067.35 is: 1,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.41 : 1,760.45 = 1,067.35 : x
  2. Step 2: Convert to fraction form
    1,169.41/1,760.45 = 1,067.35/x
  3. Step 3: Cross multiply
    1,169.41x = 1,760.45 × 1,067.35
  4. Step 4: Simplify right side
    1,169.41x = 1,879,016.31
  5. Step 5: Solve for x
    x = 1,879,016.31/1,169.41
  6. Step 6: Final answer
    x = 1,606.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.