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Finding the Fourth Proportional to 866.05, 1,297.33 and 820.62

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Solution

The fourth proportional to 866.05, 1,297.33 and 820.62 is: 1,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.05 : 1,297.33 = 820.62 : x
  2. Step 2: Convert to fraction form
    866.05/1,297.33 = 820.62/x
  3. Step 3: Cross multiply
    866.05x = 1,297.33 × 820.62
  4. Step 4: Simplify right side
    866.05x = 1,064,614.94
  5. Step 5: Solve for x
    x = 1,064,614.94/866.05
  6. Step 6: Final answer
    x = 1,229.28

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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.