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Finding the Fourth Proportional to 842.86, 1,163.85 and 594.73

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Solution

The fourth proportional to 842.86, 1,163.85 and 594.73 is: 821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.86 : 1,163.85 = 594.73 : x
  2. Step 2: Convert to fraction form
    842.86/1,163.85 = 594.73/x
  3. Step 3: Cross multiply
    842.86x = 1,163.85 × 594.73
  4. Step 4: Simplify right side
    842.86x = 692,170.69
  5. Step 5: Solve for x
    x = 692,170.69/842.86
  6. Step 6: Final answer
    x = 821.22

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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.