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Finding the Fourth Proportional to 796.40, 1,194.48 and 406.40

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Solution

The fourth proportional to 796.40, 1,194.48 and 406.40 is: 609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.40 : 1,194.48 = 406.40 : x
  2. Step 2: Convert to fraction form
    796.40/1,194.48 = 406.40/x
  3. Step 3: Cross multiply
    796.40x = 1,194.48 × 406.40
  4. Step 4: Simplify right side
    796.40x = 485,436.67
  5. Step 5: Solve for x
    x = 485,436.67/796.40
  6. Step 6: Final answer
    x = 609.54

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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.