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Finding the Fourth Proportional to 682.96, 942.56 and 516.88

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Solution

The fourth proportional to 682.96, 942.56 and 516.88 is: 713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.96 : 942.56 = 516.88 : x
  2. Step 2: Convert to fraction form
    682.96/942.56 = 516.88/x
  3. Step 3: Cross multiply
    682.96x = 942.56 × 516.88
  4. Step 4: Simplify right side
    682.96x = 487,190.41
  5. Step 5: Solve for x
    x = 487,190.41/682.96
  6. Step 6: Final answer
    x = 713.35

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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.