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Finding the Fourth Proportional to 878.54, 1,211.50 and 613.30

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Solution

The fourth proportional to 878.54, 1,211.50 and 613.30 is: 845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.54 : 1,211.50 = 613.30 : x
  2. Step 2: Convert to fraction form
    878.54/1,211.50 = 613.30/x
  3. Step 3: Cross multiply
    878.54x = 1,211.50 × 613.30
  4. Step 4: Simplify right side
    878.54x = 743,012.95
  5. Step 5: Solve for x
    x = 743,012.95/878.54
  6. Step 6: Final answer
    x = 845.74

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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.