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Finding the Fourth Proportional to 851.02, 1,174.05 and 519.39

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Solution

The fourth proportional to 851.02, 1,174.05 and 519.39 is: 716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.02 : 1,174.05 = 519.39 : x
  2. Step 2: Convert to fraction form
    851.02/1,174.05 = 519.39/x
  3. Step 3: Cross multiply
    851.02x = 1,174.05 × 519.39
  4. Step 4: Simplify right side
    851.02x = 609,789.83
  5. Step 5: Solve for x
    x = 609,789.83/851.02
  6. Step 6: Final answer
    x = 716.54

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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.