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Finding the Fourth Proportional to 685.09, 943.41 and 580.33

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Solution

The fourth proportional to 685.09, 943.41 and 580.33 is: 799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.09 : 943.41 = 580.33 : x
  2. Step 2: Convert to fraction form
    685.09/943.41 = 580.33/x
  3. Step 3: Cross multiply
    685.09x = 943.41 × 580.33
  4. Step 4: Simplify right side
    685.09x = 547,489.13
  5. Step 5: Solve for x
    x = 547,489.13/685.09
  6. Step 6: Final answer
    x = 799.15

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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.