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Finding the Fourth Proportional to 866.82, 1,196.17 and 493.81

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Solution

The fourth proportional to 866.82, 1,196.17 and 493.81 is: 681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.82 : 1,196.17 = 493.81 : x
  2. Step 2: Convert to fraction form
    866.82/1,196.17 = 493.81/x
  3. Step 3: Cross multiply
    866.82x = 1,196.17 × 493.81
  4. Step 4: Simplify right side
    866.82x = 590,680.71
  5. Step 5: Solve for x
    x = 590,680.71/866.82
  6. Step 6: Final answer
    x = 681.43

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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.