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Finding the Fourth Proportional to 939.44, 1,296.23 and 546.26

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Solution

The fourth proportional to 939.44, 1,296.23 and 546.26 is: 753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.44 : 1,296.23 = 546.26 : x
  2. Step 2: Convert to fraction form
    939.44/1,296.23 = 546.26/x
  3. Step 3: Cross multiply
    939.44x = 1,296.23 × 546.26
  4. Step 4: Simplify right side
    939.44x = 708,069.39
  5. Step 5: Solve for x
    x = 708,069.39/939.44
  6. Step 6: Final answer
    x = 753.71

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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.