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Finding the Fourth Proportional to 1,198.25, 1,796.49 and 807.29

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Solution

The fourth proportional to 1,198.25, 1,796.49 and 807.29 is: 1,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.25 : 1,796.49 = 807.29 : x
  2. Step 2: Convert to fraction form
    1,198.25/1,796.49 = 807.29/x
  3. Step 3: Cross multiply
    1,198.25x = 1,796.49 × 807.29
  4. Step 4: Simplify right side
    1,198.25x = 1,450,288.41
  5. Step 5: Solve for x
    x = 1,450,288.41/1,198.25
  6. Step 6: Final answer
    x = 1,210.34

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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.