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Finding the Fourth Proportional to 891.91, 1,228.20 and 872.74

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Solution

The fourth proportional to 891.91, 1,228.20 and 872.74 is: 1,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.91 : 1,228.20 = 872.74 : x
  2. Step 2: Convert to fraction form
    891.91/1,228.20 = 872.74/x
  3. Step 3: Cross multiply
    891.91x = 1,228.20 × 872.74
  4. Step 4: Simplify right side
    891.91x = 1,071,899.27
  5. Step 5: Solve for x
    x = 1,071,899.27/891.91
  6. Step 6: Final answer
    x = 1,201.80

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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.