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Finding the Fourth Proportional to 878.96, 1,212.85 and 738.73

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Solution

The fourth proportional to 878.96, 1,212.85 and 738.73 is: 1,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.96 : 1,212.85 = 738.73 : x
  2. Step 2: Convert to fraction form
    878.96/1,212.85 = 738.73/x
  3. Step 3: Cross multiply
    878.96x = 1,212.85 × 738.73
  4. Step 4: Simplify right side
    878.96x = 895,968.68
  5. Step 5: Solve for x
    x = 895,968.68/878.96
  6. Step 6: Final answer
    x = 1,019.35

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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.