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Finding the Fourth Proportional to 986.81, 1,361.80 and 544.73

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Solution

The fourth proportional to 986.81, 1,361.80 and 544.73 is: 751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.81 : 1,361.80 = 544.73 : x
  2. Step 2: Convert to fraction form
    986.81/1,361.80 = 544.73/x
  3. Step 3: Cross multiply
    986.81x = 1,361.80 × 544.73
  4. Step 4: Simplify right side
    986.81x = 741,805.14
  5. Step 5: Solve for x
    x = 741,805.14/986.81
  6. Step 6: Final answer
    x = 751.72

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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.