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Finding the Fourth Proportional to 685.24, 945.94 and 519.48

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Solution

The fourth proportional to 685.24, 945.94 and 519.48 is: 717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.24 : 945.94 = 519.48 : x
  2. Step 2: Convert to fraction form
    685.24/945.94 = 519.48/x
  3. Step 3: Cross multiply
    685.24x = 945.94 × 519.48
  4. Step 4: Simplify right side
    685.24x = 491,396.91
  5. Step 5: Solve for x
    x = 491,396.91/685.24
  6. Step 6: Final answer
    x = 717.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.