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Finding the Fourth Proportional to 682.52, 941.34 and 575.80

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Solution

The fourth proportional to 682.52, 941.34 and 575.80 is: 794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.52 : 941.34 = 575.80 : x
  2. Step 2: Convert to fraction form
    682.52/941.34 = 575.80/x
  3. Step 3: Cross multiply
    682.52x = 941.34 × 575.80
  4. Step 4: Simplify right side
    682.52x = 542,023.57
  5. Step 5: Solve for x
    x = 542,023.57/682.52
  6. Step 6: Final answer
    x = 794.15

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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.