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Finding the Fourth Proportional to 842.98, 1,163.33 and 469.97

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Solution

The fourth proportional to 842.98, 1,163.33 and 469.97 is: 648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.98 : 1,163.33 = 469.97 : x
  2. Step 2: Convert to fraction form
    842.98/1,163.33 = 469.97/x
  3. Step 3: Cross multiply
    842.98x = 1,163.33 × 469.97
  4. Step 4: Simplify right side
    842.98x = 546,730.20
  5. Step 5: Solve for x
    x = 546,730.20/842.98
  6. Step 6: Final answer
    x = 648.57

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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.