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Finding the Fourth Proportional to 842.89, 1,163.01 and 493.42

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Solution

The fourth proportional to 842.89, 1,163.01 and 493.42 is: 680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.89 : 1,163.01 = 493.42 : x
  2. Step 2: Convert to fraction form
    842.89/1,163.01 = 493.42/x
  3. Step 3: Cross multiply
    842.89x = 1,163.01 × 493.42
  4. Step 4: Simplify right side
    842.89x = 573,852.39
  5. Step 5: Solve for x
    x = 573,852.39/842.89
  6. Step 6: Final answer
    x = 680.82

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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.