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Finding the Fourth Proportional to 796.95, 1,195.56 and 406.74

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Solution

The fourth proportional to 796.95, 1,195.56 and 406.74 is: 610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.95 : 1,195.56 = 406.74 : x
  2. Step 2: Convert to fraction form
    796.95/1,195.56 = 406.74/x
  3. Step 3: Cross multiply
    796.95x = 1,195.56 × 406.74
  4. Step 4: Simplify right side
    796.95x = 486,285.03
  5. Step 5: Solve for x
    x = 486,285.03/796.95
  6. Step 6: Final answer
    x = 610.18

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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.