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Finding the Fourth Proportional to 939.43, 1,296.26 and 589.87

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Solution

The fourth proportional to 939.43, 1,296.26 and 589.87 is: 813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.43 : 1,296.26 = 589.87 : x
  2. Step 2: Convert to fraction form
    939.43/1,296.26 = 589.87/x
  3. Step 3: Cross multiply
    939.43x = 1,296.26 × 589.87
  4. Step 4: Simplify right side
    939.43x = 764,620.91
  5. Step 5: Solve for x
    x = 764,620.91/939.43
  6. Step 6: Final answer
    x = 813.92

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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.