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Finding the Fourth Proportional to 986.48, 1,361.52 and 820.48

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Solution

The fourth proportional to 986.48, 1,361.52 and 820.48 is: 1,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.48 : 1,361.52 = 820.48 : x
  2. Step 2: Convert to fraction form
    986.48/1,361.52 = 820.48/x
  3. Step 3: Cross multiply
    986.48x = 1,361.52 × 820.48
  4. Step 4: Simplify right side
    986.48x = 1,117,099.93
  5. Step 5: Solve for x
    x = 1,117,099.93/986.48
  6. Step 6: Final answer
    x = 1,132.41

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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.