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Finding the Fourth Proportional to 613.92, 845.73 and 489.45

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Solution

The fourth proportional to 613.92, 845.73 and 489.45 is: 674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.92 : 845.73 = 489.45 : x
  2. Step 2: Convert to fraction form
    613.92/845.73 = 489.45/x
  3. Step 3: Cross multiply
    613.92x = 845.73 × 489.45
  4. Step 4: Simplify right side
    613.92x = 413,942.55
  5. Step 5: Solve for x
    x = 413,942.55/613.92
  6. Step 6: Final answer
    x = 674.26

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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.