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Finding the Fourth Proportional to 863.48, 1,192.02 and 808.22

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Solution

The fourth proportional to 863.48, 1,192.02 and 808.22 is: 1,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.48 : 1,192.02 = 808.22 : x
  2. Step 2: Convert to fraction form
    863.48/1,192.02 = 808.22/x
  3. Step 3: Cross multiply
    863.48x = 1,192.02 × 808.22
  4. Step 4: Simplify right side
    863.48x = 963,414.40
  5. Step 5: Solve for x
    x = 963,414.40/863.48
  6. Step 6: Final answer
    x = 1,115.73

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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.