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Finding the Fourth Proportional to 806.82, 1,211.04 and 546.84

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Solution

The fourth proportional to 806.82, 1,211.04 and 546.84 is: 820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.82 : 1,211.04 = 546.84 : x
  2. Step 2: Convert to fraction form
    806.82/1,211.04 = 546.84/x
  3. Step 3: Cross multiply
    806.82x = 1,211.04 × 546.84
  4. Step 4: Simplify right side
    806.82x = 662,245.11
  5. Step 5: Solve for x
    x = 662,245.11/806.82
  6. Step 6: Final answer
    x = 820.81

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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.