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Finding the Fourth Proportional to 798.73, 1,197.56 and 408.41

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Solution

The fourth proportional to 798.73, 1,197.56 and 408.41 is: 612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.73 : 1,197.56 = 408.41 : x
  2. Step 2: Convert to fraction form
    798.73/1,197.56 = 408.41/x
  3. Step 3: Cross multiply
    798.73x = 1,197.56 × 408.41
  4. Step 4: Simplify right side
    798.73x = 489,097.18
  5. Step 5: Solve for x
    x = 489,097.18/798.73
  6. Step 6: Final answer
    x = 612.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.