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Finding the Fourth Proportional to 1,286.96, 1,930.52 and 799.00

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Solution

The fourth proportional to 1,286.96, 1,930.52 and 799.00 is: 1,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.96 : 1,930.52 = 799.00 : x
  2. Step 2: Convert to fraction form
    1,286.96/1,930.52 = 799.00/x
  3. Step 3: Cross multiply
    1,286.96x = 1,930.52 × 799.00
  4. Step 4: Simplify right side
    1,286.96x = 1,542,482.65
  5. Step 5: Solve for x
    x = 1,542,482.65/1,286.96
  6. Step 6: Final answer
    x = 1,198.55

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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.