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Finding the Fourth Proportional to 796.89, 1,194.27 and 693.66

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Solution

The fourth proportional to 796.89, 1,194.27 and 693.66 is: 1,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.89 : 1,194.27 = 693.66 : x
  2. Step 2: Convert to fraction form
    796.89/1,194.27 = 693.66/x
  3. Step 3: Cross multiply
    796.89x = 1,194.27 × 693.66
  4. Step 4: Simplify right side
    796.89x = 828,417.33
  5. Step 5: Solve for x
    x = 828,417.33/796.89
  6. Step 6: Final answer
    x = 1,039.56

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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.