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Finding the Fourth Proportional to 986.56, 1,361.34 and 613

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Solution

The fourth proportional to 986.56, 1,361.34 and 613 is: 845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.56 : 1,361.34 = 613 : x
  2. Step 2: Convert to fraction form
    986.56/1,361.34 = 613/x
  3. Step 3: Cross multiply
    986.56x = 1,361.34 × 613
  4. Step 4: Simplify right side
    986.56x = 834,501.42
  5. Step 5: Solve for x
    x = 834,501.42/986.56
  6. Step 6: Final answer
    x = 845.87

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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.