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Finding the Fourth Proportional to 986.38, 1,361.17 and 566.98

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Solution

The fourth proportional to 986.38, 1,361.17 and 566.98 is: 782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.38 : 1,361.17 = 566.98 : x
  2. Step 2: Convert to fraction form
    986.38/1,361.17 = 566.98/x
  3. Step 3: Cross multiply
    986.38x = 1,361.17 × 566.98
  4. Step 4: Simplify right side
    986.38x = 771,756.17
  5. Step 5: Solve for x
    x = 771,756.17/986.38
  6. Step 6: Final answer
    x = 782.41

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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.