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Finding the Fourth Proportional to 881.44, 1,216.52 and 733.84

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Solution

The fourth proportional to 881.44, 1,216.52 and 733.84 is: 1,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.44 : 1,216.52 = 733.84 : x
  2. Step 2: Convert to fraction form
    881.44/1,216.52 = 733.84/x
  3. Step 3: Cross multiply
    881.44x = 1,216.52 × 733.84
  4. Step 4: Simplify right side
    881.44x = 892,731.04
  5. Step 5: Solve for x
    x = 892,731.04/881.44
  6. Step 6: Final answer
    x = 1,012.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.