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Finding the Fourth Proportional to 866.63, 1,195.97 and 493.63

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Solution

The fourth proportional to 866.63, 1,195.97 and 493.63 is: 681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.63 : 1,195.97 = 493.63 : x
  2. Step 2: Convert to fraction form
    866.63/1,195.97 = 493.63/x
  3. Step 3: Cross multiply
    866.63x = 1,195.97 × 493.63
  4. Step 4: Simplify right side
    866.63x = 590,361.21
  5. Step 5: Solve for x
    x = 590,361.21/866.63
  6. Step 6: Final answer
    x = 681.21

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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.