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Finding the Fourth Proportional to 986.24, 1,361.09 and 544.23

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Solution

The fourth proportional to 986.24, 1,361.09 and 544.23 is: 751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.24 : 1,361.09 = 544.23 : x
  2. Step 2: Convert to fraction form
    986.24/1,361.09 = 544.23/x
  3. Step 3: Cross multiply
    986.24x = 1,361.09 × 544.23
  4. Step 4: Simplify right side
    986.24x = 740,747.37
  5. Step 5: Solve for x
    x = 740,747.37/986.24
  6. Step 6: Final answer
    x = 751.08

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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.