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Finding the Fourth Proportional to 939.57, 1,296.55 and 519.89

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Solution

The fourth proportional to 939.57, 1,296.55 and 519.89 is: 717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.57 : 1,296.55 = 519.89 : x
  2. Step 2: Convert to fraction form
    939.57/1,296.55 = 519.89/x
  3. Step 3: Cross multiply
    939.57x = 1,296.55 × 519.89
  4. Step 4: Simplify right side
    939.57x = 674,063.38
  5. Step 5: Solve for x
    x = 674,063.38/939.57
  6. Step 6: Final answer
    x = 717.42

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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.