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Finding the Fourth Proportional to 806.97, 1,211.66 and 460.69

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Solution

The fourth proportional to 806.97, 1,211.66 and 460.69 is: 691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.97 : 1,211.66 = 460.69 : x
  2. Step 2: Convert to fraction form
    806.97/1,211.66 = 460.69/x
  3. Step 3: Cross multiply
    806.97x = 1,211.66 × 460.69
  4. Step 4: Simplify right side
    806.97x = 558,200.80
  5. Step 5: Solve for x
    x = 558,200.80/806.97
  6. Step 6: Final answer
    x = 691.73

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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.