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Finding the Fourth Proportional to 808.84, 1,213.25 and 231.71

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Solution

The fourth proportional to 808.84, 1,213.25 and 231.71 is: 347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.84 : 1,213.25 = 231.71 : x
  2. Step 2: Convert to fraction form
    808.84/1,213.25 = 231.71/x
  3. Step 3: Cross multiply
    808.84x = 1,213.25 × 231.71
  4. Step 4: Simplify right side
    808.84x = 281,122.16
  5. Step 5: Solve for x
    x = 281,122.16/808.84
  6. Step 6: Final answer
    x = 347.56

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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.