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Finding the Fourth Proportional to 1,196.25, 1,793.71 and 806.23

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Solution

The fourth proportional to 1,196.25, 1,793.71 and 806.23 is: 1,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.25 : 1,793.71 = 806.23 : x
  2. Step 2: Convert to fraction form
    1,196.25/1,793.71 = 806.23/x
  3. Step 3: Cross multiply
    1,196.25x = 1,793.71 × 806.23
  4. Step 4: Simplify right side
    1,196.25x = 1,446,142.81
  5. Step 5: Solve for x
    x = 1,446,142.81/1,196.25
  6. Step 6: Final answer
    x = 1,208.90

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