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Finding the Fourth Proportional to 866.63, 1,196.19 and 493.81

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Solution

The fourth proportional to 866.63, 1,196.19 and 493.81 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.63 : 1,196.19 = 493.81 : x
  2. Step 2: Convert to fraction form
    866.63/1,196.19 = 493.81/x
  3. Step 3: Cross multiply
    866.63x = 1,196.19 × 493.81
  4. Step 4: Simplify right side
    866.63x = 590,687.59
  5. Step 5: Solve for x
    x = 590,687.59/866.63
  6. Step 6: Final answer
    x = 681.59

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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.