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Finding the Fourth Proportional to 866.83, 1,196.22 and 493.81

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Solution

The fourth proportional to 866.83, 1,196.22 and 493.81 is: 681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.83 : 1,196.22 = 493.81 : x
  2. Step 2: Convert to fraction form
    866.83/1,196.22 = 493.81/x
  3. Step 3: Cross multiply
    866.83x = 1,196.22 × 493.81
  4. Step 4: Simplify right side
    866.83x = 590,704.26
  5. Step 5: Solve for x
    x = 590,704.26/866.83
  6. Step 6: Final answer
    x = 681.45

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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.