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Finding the Fourth Proportional to 1,310.46, 1,965.69 and 1,067.46

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Solution

The fourth proportional to 1,310.46, 1,965.69 and 1,067.46 is: 1,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.46 : 1,965.69 = 1,067.46 : x
  2. Step 2: Convert to fraction form
    1,310.46/1,965.69 = 1,067.46/x
  3. Step 3: Cross multiply
    1,310.46x = 1,965.69 × 1,067.46
  4. Step 4: Simplify right side
    1,310.46x = 2,098,295.45
  5. Step 5: Solve for x
    x = 2,098,295.45/1,310.46
  6. Step 6: Final answer
    x = 1,601.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.