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Finding the Fourth Proportional to 867.50, 1,196.81 and 494.41

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Solution

The fourth proportional to 867.50, 1,196.81 and 494.41 is: 682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.50 : 1,196.81 = 494.41 : x
  2. Step 2: Convert to fraction form
    867.50/1,196.81 = 494.41/x
  3. Step 3: Cross multiply
    867.50x = 1,196.81 × 494.41
  4. Step 4: Simplify right side
    867.50x = 591,714.83
  5. Step 5: Solve for x
    x = 591,714.83/867.50
  6. Step 6: Final answer
    x = 682.09

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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.