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Finding the Fourth Proportional to 878.83, 1,212.78 and 480.49

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Solution

The fourth proportional to 878.83, 1,212.78 and 480.49 is: 663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.83 : 1,212.78 = 480.49 : x
  2. Step 2: Convert to fraction form
    878.83/1,212.78 = 480.49/x
  3. Step 3: Cross multiply
    878.83x = 1,212.78 × 480.49
  4. Step 4: Simplify right side
    878.83x = 582,720.20
  5. Step 5: Solve for x
    x = 582,720.20/878.83
  6. Step 6: Final answer
    x = 663.06

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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.