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Finding the Fourth Proportional to 939.05, 1,295.93 and 519.47

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Solution

The fourth proportional to 939.05, 1,295.93 and 519.47 is: 716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.05 : 1,295.93 = 519.47 : x
  2. Step 2: Convert to fraction form
    939.05/1,295.93 = 519.47/x
  3. Step 3: Cross multiply
    939.05x = 1,295.93 × 519.47
  4. Step 4: Simplify right side
    939.05x = 673,197.40
  5. Step 5: Solve for x
    x = 673,197.40/939.05
  6. Step 6: Final answer
    x = 716.89

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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.