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Finding the Fourth Proportional to 682.75, 941.44 and 558.03

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Solution

The fourth proportional to 682.75, 941.44 and 558.03 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.75 : 941.44 = 558.03 : x
  2. Step 2: Convert to fraction form
    682.75/941.44 = 558.03/x
  3. Step 3: Cross multiply
    682.75x = 941.44 × 558.03
  4. Step 4: Simplify right side
    682.75x = 525,345.97
  5. Step 5: Solve for x
    x = 525,345.97/682.75
  6. Step 6: Final answer
    x = 769.45

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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.