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Finding the Fourth Proportional to 827.60, 1,232.82 and 808.40

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Solution

The fourth proportional to 827.60, 1,232.82 and 808.40 is: 1,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.60 : 1,232.82 = 808.40 : x
  2. Step 2: Convert to fraction form
    827.60/1,232.82 = 808.40/x
  3. Step 3: Cross multiply
    827.60x = 1,232.82 × 808.40
  4. Step 4: Simplify right side
    827.60x = 996,611.69
  5. Step 5: Solve for x
    x = 996,611.69/827.60
  6. Step 6: Final answer
    x = 1,204.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.