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Finding the Fourth Proportional to 986.68, 1,361.62 and 588.28

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Solution

The fourth proportional to 986.68, 1,361.62 and 588.28 is: 811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.68 : 1,361.62 = 588.28 : x
  2. Step 2: Convert to fraction form
    986.68/1,361.62 = 588.28/x
  3. Step 3: Cross multiply
    986.68x = 1,361.62 × 588.28
  4. Step 4: Simplify right side
    986.68x = 801,013.81
  5. Step 5: Solve for x
    x = 801,013.81/986.68
  6. Step 6: Final answer
    x = 811.83

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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.