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Finding the Fourth Proportional to 878.25, 1,317.02 and 439.34

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Solution

The fourth proportional to 878.25, 1,317.02 and 439.34 is: 658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.25 : 1,317.02 = 439.34 : x
  2. Step 2: Convert to fraction form
    878.25/1,317.02 = 439.34/x
  3. Step 3: Cross multiply
    878.25x = 1,317.02 × 439.34
  4. Step 4: Simplify right side
    878.25x = 578,619.43
  5. Step 5: Solve for x
    x = 578,619.43/878.25
  6. Step 6: Final answer
    x = 658.83

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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.