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Finding the Fourth Proportional to 891.65, 1,231.49 and 726.71

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Solution

The fourth proportional to 891.65, 1,231.49 and 726.71 is: 1,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.65 : 1,231.49 = 726.71 : x
  2. Step 2: Convert to fraction form
    891.65/1,231.49 = 726.71/x
  3. Step 3: Cross multiply
    891.65x = 1,231.49 × 726.71
  4. Step 4: Simplify right side
    891.65x = 894,926.31
  5. Step 5: Solve for x
    x = 894,926.31/891.65
  6. Step 6: Final answer
    x = 1,003.68

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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.