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Finding the Fourth Proportional to 682.86, 940.23 and 566.22

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Solution

The fourth proportional to 682.86, 940.23 and 566.22 is: 779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.86 : 940.23 = 566.22 : x
  2. Step 2: Convert to fraction form
    682.86/940.23 = 566.22/x
  3. Step 3: Cross multiply
    682.86x = 940.23 × 566.22
  4. Step 4: Simplify right side
    682.86x = 532,377.03
  5. Step 5: Solve for x
    x = 532,377.03/682.86
  6. Step 6: Final answer
    x = 779.63

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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.