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Finding the Fourth Proportional to 878.91, 1,213.04 and 668.75

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Solution

The fourth proportional to 878.91, 1,213.04 and 668.75 is: 922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.91 : 1,213.04 = 668.75 : x
  2. Step 2: Convert to fraction form
    878.91/1,213.04 = 668.75/x
  3. Step 3: Cross multiply
    878.91x = 1,213.04 × 668.75
  4. Step 4: Simplify right side
    878.91x = 811,220.50
  5. Step 5: Solve for x
    x = 811,220.50/878.91
  6. Step 6: Final answer
    x = 922.98

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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.