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Finding the Fourth Proportional to 682.75, 943.43 and 485.92

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Solution

The fourth proportional to 682.75, 943.43 and 485.92 is: 671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.75 : 943.43 = 485.92 : x
  2. Step 2: Convert to fraction form
    682.75/943.43 = 485.92/x
  3. Step 3: Cross multiply
    682.75x = 943.43 × 485.92
  4. Step 4: Simplify right side
    682.75x = 458,433.90
  5. Step 5: Solve for x
    x = 458,433.90/682.75
  6. Step 6: Final answer
    x = 671.45

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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.