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Finding the Fourth Proportional to 850.72, 1,174.12 and 519.34

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Solution

The fourth proportional to 850.72, 1,174.12 and 519.34 is: 716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.72 : 1,174.12 = 519.34 : x
  2. Step 2: Convert to fraction form
    850.72/1,174.12 = 519.34/x
  3. Step 3: Cross multiply
    850.72x = 1,174.12 × 519.34
  4. Step 4: Simplify right side
    850.72x = 609,769.47
  5. Step 5: Solve for x
    x = 609,769.47/850.72
  6. Step 6: Final answer
    x = 716.77

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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.