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Finding the Fourth Proportional to 939.66, 1,296.89 and 546.91

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Solution

The fourth proportional to 939.66, 1,296.89 and 546.91 is: 754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.66 : 1,296.89 = 546.91 : x
  2. Step 2: Convert to fraction form
    939.66/1,296.89 = 546.91/x
  3. Step 3: Cross multiply
    939.66x = 1,296.89 × 546.91
  4. Step 4: Simplify right side
    939.66x = 709,283.05
  5. Step 5: Solve for x
    x = 709,283.05/939.66
  6. Step 6: Final answer
    x = 754.83

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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.