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Finding the Fourth Proportional to 838.23, 1,257.66 and 789.33

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Solution

The fourth proportional to 838.23, 1,257.66 and 789.33 is: 1,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.23 : 1,257.66 = 789.33 : x
  2. Step 2: Convert to fraction form
    838.23/1,257.66 = 789.33/x
  3. Step 3: Cross multiply
    838.23x = 1,257.66 × 789.33
  4. Step 4: Simplify right side
    838.23x = 992,706.41
  5. Step 5: Solve for x
    x = 992,706.41/838.23
  6. Step 6: Final answer
    x = 1,184.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.