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Finding the Fourth Proportional to 878.38, 1,318.48 and 391.77

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Solution

The fourth proportional to 878.38, 1,318.48 and 391.77 is: 588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.38 : 1,318.48 = 391.77 : x
  2. Step 2: Convert to fraction form
    878.38/1,318.48 = 391.77/x
  3. Step 3: Cross multiply
    878.38x = 1,318.48 × 391.77
  4. Step 4: Simplify right side
    878.38x = 516,539.93
  5. Step 5: Solve for x
    x = 516,539.93/878.38
  6. Step 6: Final answer
    x = 588.06

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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.