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Finding the Fourth Proportional to 863.48, 1,285.93 and 826.04

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Solution

The fourth proportional to 863.48, 1,285.93 and 826.04 is: 1,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.48 : 1,285.93 = 826.04 : x
  2. Step 2: Convert to fraction form
    863.48/1,285.93 = 826.04/x
  3. Step 3: Cross multiply
    863.48x = 1,285.93 × 826.04
  4. Step 4: Simplify right side
    863.48x = 1,062,229.62
  5. Step 5: Solve for x
    x = 1,062,229.62/863.48
  6. Step 6: Final answer
    x = 1,230.17

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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.