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Finding the Fourth Proportional to 878.44, 1,318.08 and 445.66

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Solution

The fourth proportional to 878.44, 1,318.08 and 445.66 is: 668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.44 : 1,318.08 = 445.66 : x
  2. Step 2: Convert to fraction form
    878.44/1,318.08 = 445.66/x
  3. Step 3: Cross multiply
    878.44x = 1,318.08 × 445.66
  4. Step 4: Simplify right side
    878.44x = 587,415.53
  5. Step 5: Solve for x
    x = 587,415.53/878.44
  6. Step 6: Final answer
    x = 668.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.