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Finding the Fourth Proportional to 881.11, 1,329.41 and 873.82

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Solution

The fourth proportional to 881.11, 1,329.41 and 873.82 is: 1,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.11 : 1,329.41 = 873.82 : x
  2. Step 2: Convert to fraction form
    881.11/1,329.41 = 873.82/x
  3. Step 3: Cross multiply
    881.11x = 1,329.41 × 873.82
  4. Step 4: Simplify right side
    881.11x = 1,161,665.05
  5. Step 5: Solve for x
    x = 1,161,665.05/881.11
  6. Step 6: Final answer
    x = 1,318.41

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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.