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Finding the Fourth Proportional to 797.70, 1,195.97 and 277.41

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Solution

The fourth proportional to 797.70, 1,195.97 and 277.41 is: 415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.70 : 1,195.97 = 277.41 : x
  2. Step 2: Convert to fraction form
    797.70/1,195.97 = 277.41/x
  3. Step 3: Cross multiply
    797.70x = 1,195.97 × 277.41
  4. Step 4: Simplify right side
    797.70x = 331,772.65
  5. Step 5: Solve for x
    x = 331,772.65/797.70
  6. Step 6: Final answer
    x = 415.91

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