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Finding the Fourth Proportional to 939.52, 1,296.43 and 546.47

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Solution

The fourth proportional to 939.52, 1,296.43 and 546.47 is: 754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.52 : 1,296.43 = 546.47 : x
  2. Step 2: Convert to fraction form
    939.52/1,296.43 = 546.47/x
  3. Step 3: Cross multiply
    939.52x = 1,296.43 × 546.47
  4. Step 4: Simplify right side
    939.52x = 708,460.10
  5. Step 5: Solve for x
    x = 708,460.10/939.52
  6. Step 6: Final answer
    x = 754.07

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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.