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Finding the Fourth Proportional to 878.86, 1,212.82 and 480.51

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Solution

The fourth proportional to 878.86, 1,212.82 and 480.51 is: 663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.86 : 1,212.82 = 480.51 : x
  2. Step 2: Convert to fraction form
    878.86/1,212.82 = 480.51/x
  3. Step 3: Cross multiply
    878.86x = 1,212.82 × 480.51
  4. Step 4: Simplify right side
    878.86x = 582,772.14
  5. Step 5: Solve for x
    x = 582,772.14/878.86
  6. Step 6: Final answer
    x = 663.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.