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Finding the Fourth Proportional to 986.50, 1,361.37 and 614.18

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Solution

The fourth proportional to 986.50, 1,361.37 and 614.18 is: 847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.50 : 1,361.37 = 614.18 : x
  2. Step 2: Convert to fraction form
    986.50/1,361.37 = 614.18/x
  3. Step 3: Cross multiply
    986.50x = 1,361.37 × 614.18
  4. Step 4: Simplify right side
    986.50x = 836,126.23
  5. Step 5: Solve for x
    x = 836,126.23/986.50
  6. Step 6: Final answer
    x = 847.57

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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.