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Finding the Fourth Proportional to 842.96, 1,163.36 and 469.96

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Solution

The fourth proportional to 842.96, 1,163.36 and 469.96 is: 648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.96 : 1,163.36 = 469.96 : x
  2. Step 2: Convert to fraction form
    842.96/1,163.36 = 469.96/x
  3. Step 3: Cross multiply
    842.96x = 1,163.36 × 469.96
  4. Step 4: Simplify right side
    842.96x = 546,732.67
  5. Step 5: Solve for x
    x = 546,732.67/842.96
  6. Step 6: Final answer
    x = 648.59

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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.