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Finding the Fourth Proportional to 797.46, 1,194.46 and 385.73

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Solution

The fourth proportional to 797.46, 1,194.46 and 385.73 is: 577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.46 : 1,194.46 = 385.73 : x
  2. Step 2: Convert to fraction form
    797.46/1,194.46 = 385.73/x
  3. Step 3: Cross multiply
    797.46x = 1,194.46 × 385.73
  4. Step 4: Simplify right side
    797.46x = 460,745.49
  5. Step 5: Solve for x
    x = 460,745.49/797.46
  6. Step 6: Final answer
    x = 577.76

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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.