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Finding the Fourth Proportional to 986.78, 1,361.22 and 613.82

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Solution

The fourth proportional to 986.78, 1,361.22 and 613.82 is: 846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.78 : 1,361.22 = 613.82 : x
  2. Step 2: Convert to fraction form
    986.78/1,361.22 = 613.82/x
  3. Step 3: Cross multiply
    986.78x = 1,361.22 × 613.82
  4. Step 4: Simplify right side
    986.78x = 835,544.06
  5. Step 5: Solve for x
    x = 835,544.06/986.78
  6. Step 6: Final answer
    x = 846.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.