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Finding the Fourth Proportional to 682.96, 942.60 and 516.89

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Solution

The fourth proportional to 682.96, 942.60 and 516.89 is: 713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.96 : 942.60 = 516.89 : x
  2. Step 2: Convert to fraction form
    682.96/942.60 = 516.89/x
  3. Step 3: Cross multiply
    682.96x = 942.60 × 516.89
  4. Step 4: Simplify right side
    682.96x = 487,219.62
  5. Step 5: Solve for x
    x = 487,219.62/682.96
  6. Step 6: Final answer
    x = 713.39

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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.