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Finding the Fourth Proportional to 806.97, 1,208.11 and 683.58

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Solution

The fourth proportional to 806.97, 1,208.11 and 683.58 is: 1,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.97 : 1,208.11 = 683.58 : x
  2. Step 2: Convert to fraction form
    806.97/1,208.11 = 683.58/x
  3. Step 3: Cross multiply
    806.97x = 1,208.11 × 683.58
  4. Step 4: Simplify right side
    806.97x = 825,839.83
  5. Step 5: Solve for x
    x = 825,839.83/806.97
  6. Step 6: Final answer
    x = 1,023.38

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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.