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Finding the Fourth Proportional to 986.27, 1,361.73 and 613.32

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Solution

The fourth proportional to 986.27, 1,361.73 and 613.32 is: 846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.27 : 1,361.73 = 613.32 : x
  2. Step 2: Convert to fraction form
    986.27/1,361.73 = 613.32/x
  3. Step 3: Cross multiply
    986.27x = 1,361.73 × 613.32
  4. Step 4: Simplify right side
    986.27x = 835,176.24
  5. Step 5: Solve for x
    x = 835,176.24/986.27
  6. Step 6: Final answer
    x = 846.81

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Why These Related Problems?

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