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Finding the Fourth Proportional to 682.16, 941.66 and 516.42

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Solution

The fourth proportional to 682.16, 941.66 and 516.42 is: 712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 941.66 = 516.42 : x
  2. Step 2: Convert to fraction form
    682.16/941.66 = 516.42/x
  3. Step 3: Cross multiply
    682.16x = 941.66 × 516.42
  4. Step 4: Simplify right side
    682.16x = 486,289.48
  5. Step 5: Solve for x
    x = 486,289.48/682.16
  6. Step 6: Final answer
    x = 712.87

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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.