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Finding the Fourth Proportional to 806.17, 1,209.63 and 250.97

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Solution

The fourth proportional to 806.17, 1,209.63 and 250.97 is: 376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.17 : 1,209.63 = 250.97 : x
  2. Step 2: Convert to fraction form
    806.17/1,209.63 = 250.97/x
  3. Step 3: Cross multiply
    806.17x = 1,209.63 × 250.97
  4. Step 4: Simplify right side
    806.17x = 303,575.73
  5. Step 5: Solve for x
    x = 303,575.73/806.17
  6. Step 6: Final answer
    x = 376.56

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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.