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Finding the Fourth Proportional to 821.19, 1,233 and 796.89

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Solution

The fourth proportional to 821.19, 1,233 and 796.89 is: 1,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.19 : 1,233 = 796.89 : x
  2. Step 2: Convert to fraction form
    821.19/1,233 = 796.89/x
  3. Step 3: Cross multiply
    821.19x = 1,233 × 796.89
  4. Step 4: Simplify right side
    821.19x = 982,565.37
  5. Step 5: Solve for x
    x = 982,565.37/821.19
  6. Step 6: Final answer
    x = 1,196.51

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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.