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Finding the Fourth Proportional to 796.85, 1,194.55 and 283.73

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Solution

The fourth proportional to 796.85, 1,194.55 and 283.73 is: 425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.85 : 1,194.55 = 283.73 : x
  2. Step 2: Convert to fraction form
    796.85/1,194.55 = 283.73/x
  3. Step 3: Cross multiply
    796.85x = 1,194.55 × 283.73
  4. Step 4: Simplify right side
    796.85x = 338,922.28
  5. Step 5: Solve for x
    x = 338,922.28/796.85
  6. Step 6: Final answer
    x = 425.33

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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.