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Finding the Fourth Proportional to 939.36, 1,296.42 and 546.39

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Solution

The fourth proportional to 939.36, 1,296.42 and 546.39 is: 754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.36 : 1,296.42 = 546.39 : x
  2. Step 2: Convert to fraction form
    939.36/1,296.42 = 546.39/x
  3. Step 3: Cross multiply
    939.36x = 1,296.42 × 546.39
  4. Step 4: Simplify right side
    939.36x = 708,350.92
  5. Step 5: Solve for x
    x = 708,350.92/939.36
  6. Step 6: Final answer
    x = 754.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.