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Finding the Fourth Proportional to 939.33, 1,296.14 and 546.28

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Solution

The fourth proportional to 939.33, 1,296.14 and 546.28 is: 753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.33 : 1,296.14 = 546.28 : x
  2. Step 2: Convert to fraction form
    939.33/1,296.14 = 546.28/x
  3. Step 3: Cross multiply
    939.33x = 1,296.14 × 546.28
  4. Step 4: Simplify right side
    939.33x = 708,049.39
  5. Step 5: Solve for x
    x = 708,049.39/939.33
  6. Step 6: Final answer
    x = 753.78

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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.