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Finding the Fourth Proportional to 797.25, 1,194.90 and 334.78

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Solution

The fourth proportional to 797.25, 1,194.90 and 334.78 is: 501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.25 : 1,194.90 = 334.78 : x
  2. Step 2: Convert to fraction form
    797.25/1,194.90 = 334.78/x
  3. Step 3: Cross multiply
    797.25x = 1,194.90 × 334.78
  4. Step 4: Simplify right side
    797.25x = 400,028.62
  5. Step 5: Solve for x
    x = 400,028.62/797.25
  6. Step 6: Final answer
    x = 501.76

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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.