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Finding the Fourth Proportional to 842.85, 1,163.22 and 493.83

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Solution

The fourth proportional to 842.85, 1,163.22 and 493.83 is: 681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.85 : 1,163.22 = 493.83 : x
  2. Step 2: Convert to fraction form
    842.85/1,163.22 = 493.83/x
  3. Step 3: Cross multiply
    842.85x = 1,163.22 × 493.83
  4. Step 4: Simplify right side
    842.85x = 574,432.93
  5. Step 5: Solve for x
    x = 574,432.93/842.85
  6. Step 6: Final answer
    x = 681.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.