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Finding the Fourth Proportional to 986.36, 1,361.37 and 588.11

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Solution

The fourth proportional to 986.36, 1,361.37 and 588.11 is: 811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.36 : 1,361.37 = 588.11 : x
  2. Step 2: Convert to fraction form
    986.36/1,361.37 = 588.11/x
  3. Step 3: Cross multiply
    986.36x = 1,361.37 × 588.11
  4. Step 4: Simplify right side
    986.36x = 800,635.31
  5. Step 5: Solve for x
    x = 800,635.31/986.36
  6. Step 6: Final answer
    x = 811.71

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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.