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Finding the Fourth Proportional to 867.80, 1,303.26 and 798.26

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Solution

The fourth proportional to 867.80, 1,303.26 and 798.26 is: 1,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.80 : 1,303.26 = 798.26 : x
  2. Step 2: Convert to fraction form
    867.80/1,303.26 = 798.26/x
  3. Step 3: Cross multiply
    867.80x = 1,303.26 × 798.26
  4. Step 4: Simplify right side
    867.80x = 1,040,340.33
  5. Step 5: Solve for x
    x = 1,040,340.33/867.80
  6. Step 6: Final answer
    x = 1,198.82

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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.