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Finding the Fourth Proportional to 881.91, 1,329.50 and 822.47

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Solution

The fourth proportional to 881.91, 1,329.50 and 822.47 is: 1,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.91 : 1,329.50 = 822.47 : x
  2. Step 2: Convert to fraction form
    881.91/1,329.50 = 822.47/x
  3. Step 3: Cross multiply
    881.91x = 1,329.50 × 822.47
  4. Step 4: Simplify right side
    881.91x = 1,093,463.11
  5. Step 5: Solve for x
    x = 1,093,463.11/881.91
  6. Step 6: Final answer
    x = 1,239.88

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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.