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Finding the Fourth Proportional to 779.66, 1,163.94 and 662.87

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Solution

The fourth proportional to 779.66, 1,163.94 and 662.87 is: 989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.66 : 1,163.94 = 662.87 : x
  2. Step 2: Convert to fraction form
    779.66/1,163.94 = 662.87/x
  3. Step 3: Cross multiply
    779.66x = 1,163.94 × 662.87
  4. Step 4: Simplify right side
    779.66x = 771,540.91
  5. Step 5: Solve for x
    x = 771,540.91/779.66
  6. Step 6: Final answer
    x = 989.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.