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Finding the Fourth Proportional to 881.82, 1,329.36 and 822.36

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Solution

The fourth proportional to 881.82, 1,329.36 and 822.36 is: 1,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.82 : 1,329.36 = 822.36 : x
  2. Step 2: Convert to fraction form
    881.82/1,329.36 = 822.36/x
  3. Step 3: Cross multiply
    881.82x = 1,329.36 × 822.36
  4. Step 4: Simplify right side
    881.82x = 1,093,214.39
  5. Step 5: Solve for x
    x = 1,093,214.39/881.82
  6. Step 6: Final answer
    x = 1,239.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.