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Finding the Fourth Proportional to 878.94, 1,317.96 and 439.72

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Solution

The fourth proportional to 878.94, 1,317.96 and 439.72 is: 659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.94 : 1,317.96 = 439.72 : x
  2. Step 2: Convert to fraction form
    878.94/1,317.96 = 439.72/x
  3. Step 3: Cross multiply
    878.94x = 1,317.96 × 439.72
  4. Step 4: Simplify right side
    878.94x = 579,535.02
  5. Step 5: Solve for x
    x = 579,535.02/878.94
  6. Step 6: Final answer
    x = 659.35

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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.