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Finding the Fourth Proportional to 891.73, 1,228.06 and 872.65

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Solution

The fourth proportional to 891.73, 1,228.06 and 872.65 is: 1,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.73 : 1,228.06 = 872.65 : x
  2. Step 2: Convert to fraction form
    891.73/1,228.06 = 872.65/x
  3. Step 3: Cross multiply
    891.73x = 1,228.06 × 872.65
  4. Step 4: Simplify right side
    891.73x = 1,071,664.28
  5. Step 5: Solve for x
    x = 1,071,664.28/891.73
  6. Step 6: Final answer
    x = 1,201.78

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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.