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Finding the Fourth Proportional to 986.47, 1,361.27 and 566.75

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Solution

The fourth proportional to 986.47, 1,361.27 and 566.75 is: 782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.47 : 1,361.27 = 566.75 : x
  2. Step 2: Convert to fraction form
    986.47/1,361.27 = 566.75/x
  3. Step 3: Cross multiply
    986.47x = 1,361.27 × 566.75
  4. Step 4: Simplify right side
    986.47x = 771,504.59
  5. Step 5: Solve for x
    x = 771,504.59/986.47
  6. Step 6: Final answer
    x = 782.09

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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.