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Finding the Fourth Proportional to 842.85, 1,163.14 and 469.83

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Solution

The fourth proportional to 842.85, 1,163.14 and 469.83 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.85 : 1,163.14 = 469.83 : x
  2. Step 2: Convert to fraction form
    842.85/1,163.14 = 469.83/x
  3. Step 3: Cross multiply
    842.85x = 1,163.14 × 469.83
  4. Step 4: Simplify right side
    842.85x = 546,472.53
  5. Step 5: Solve for x
    x = 546,472.53/842.85
  6. Step 6: Final answer
    x = 648.36

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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.