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Finding the Fourth Proportional to 867.42, 1,196.98 and 494.39

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Solution

The fourth proportional to 867.42, 1,196.98 and 494.39 is: 682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.42 : 1,196.98 = 494.39 : x
  2. Step 2: Convert to fraction form
    867.42/1,196.98 = 494.39/x
  3. Step 3: Cross multiply
    867.42x = 1,196.98 × 494.39
  4. Step 4: Simplify right side
    867.42x = 591,774.94
  5. Step 5: Solve for x
    x = 591,774.94/867.42
  6. Step 6: Final answer
    x = 682.22

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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.