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Finding the Fourth Proportional to 867.11, 1,196.47 and 494.09

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Solution

The fourth proportional to 867.11, 1,196.47 and 494.09 is: 681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.11 : 1,196.47 = 494.09 : x
  2. Step 2: Convert to fraction form
    867.11/1,196.47 = 494.09/x
  3. Step 3: Cross multiply
    867.11x = 1,196.47 × 494.09
  4. Step 4: Simplify right side
    867.11x = 591,163.86
  5. Step 5: Solve for x
    x = 591,163.86/867.11
  6. Step 6: Final answer
    x = 681.76

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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.