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Finding the Fourth Proportional to 863.37, 1,294.11 and 376.83

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Solution

The fourth proportional to 863.37, 1,294.11 and 376.83 is: 564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.37 : 1,294.11 = 376.83 : x
  2. Step 2: Convert to fraction form
    863.37/1,294.11 = 376.83/x
  3. Step 3: Cross multiply
    863.37x = 1,294.11 × 376.83
  4. Step 4: Simplify right side
    863.37x = 487,659.47
  5. Step 5: Solve for x
    x = 487,659.47/863.37
  6. Step 6: Final answer
    x = 564.83

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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.