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Finding the Fourth Proportional to 682.54, 940.70 and 563.81

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Solution

The fourth proportional to 682.54, 940.70 and 563.81 is: 777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.54 : 940.70 = 563.81 : x
  2. Step 2: Convert to fraction form
    682.54/940.70 = 563.81/x
  3. Step 3: Cross multiply
    682.54x = 940.70 × 563.81
  4. Step 4: Simplify right side
    682.54x = 530,372.77
  5. Step 5: Solve for x
    x = 530,372.77/682.54
  6. Step 6: Final answer
    x = 777.06

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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.