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Finding the Fourth Proportional to 939.17, 1,296.14 and 546.12

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Solution

The fourth proportional to 939.17, 1,296.14 and 546.12 is: 753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.17 : 1,296.14 = 546.12 : x
  2. Step 2: Convert to fraction form
    939.17/1,296.14 = 546.12/x
  3. Step 3: Cross multiply
    939.17x = 1,296.14 × 546.12
  4. Step 4: Simplify right side
    939.17x = 707,843.90
  5. Step 5: Solve for x
    x = 707,843.90/939.17
  6. Step 6: Final answer
    x = 753.69

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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.