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Finding the Fourth Proportional to 939.27, 1,296.63 and 546.23

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Solution

The fourth proportional to 939.27, 1,296.63 and 546.23 is: 754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.27 : 1,296.63 = 546.23 : x
  2. Step 2: Convert to fraction form
    939.27/1,296.63 = 546.23/x
  3. Step 3: Cross multiply
    939.27x = 1,296.63 × 546.23
  4. Step 4: Simplify right side
    939.27x = 708,251.72
  5. Step 5: Solve for x
    x = 708,251.72/939.27
  6. Step 6: Final answer
    x = 754.04

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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.