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Finding the Fourth Proportional to 939.60, 1,296.54 and 546.71

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Solution

The fourth proportional to 939.60, 1,296.54 and 546.71 is: 754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.60 : 1,296.54 = 546.71 : x
  2. Step 2: Convert to fraction form
    939.60/1,296.54 = 546.71/x
  3. Step 3: Cross multiply
    939.60x = 1,296.54 × 546.71
  4. Step 4: Simplify right side
    939.60x = 708,824.90
  5. Step 5: Solve for x
    x = 708,824.90/939.60
  6. Step 6: Final answer
    x = 754.39

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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.