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Finding the Fourth Proportional to 851, 1,174.52 and 519.38

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Solution

The fourth proportional to 851, 1,174.52 and 519.38 is: 716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    851 : 1,174.52 = 519.38 : x
  2. Step 2: Convert to fraction form
    851/1,174.52 = 519.38/x
  3. Step 3: Cross multiply
    851x = 1,174.52 × 519.38
  4. Step 4: Simplify right side
    851x = 610,022.20
  5. Step 5: Solve for x
    x = 610,022.20/851
  6. Step 6: Final answer
    x = 716.83

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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.