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Finding the Fourth Proportional to 878.96, 1,213.08 and 599.48

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Solution

The fourth proportional to 878.96, 1,213.08 and 599.48 is: 827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.96 : 1,213.08 = 599.48 : x
  2. Step 2: Convert to fraction form
    878.96/1,213.08 = 599.48/x
  3. Step 3: Cross multiply
    878.96x = 1,213.08 × 599.48
  4. Step 4: Simplify right side
    878.96x = 727,217.20
  5. Step 5: Solve for x
    x = 727,217.20/878.96
  6. Step 6: Final answer
    x = 827.36

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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.