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Finding the Fourth Proportional to 682.86, 942.66 and 517.14

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Solution

The fourth proportional to 682.86, 942.66 and 517.14 is: 713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.86 : 942.66 = 517.14 : x
  2. Step 2: Convert to fraction form
    682.86/942.66 = 517.14/x
  3. Step 3: Cross multiply
    682.86x = 942.66 × 517.14
  4. Step 4: Simplify right side
    682.86x = 487,487.19
  5. Step 5: Solve for x
    x = 487,487.19/682.86
  6. Step 6: Final answer
    x = 713.89

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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.