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Finding the Fourth Proportional to 683.44, 940.89 and 591.37

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Solution

The fourth proportional to 683.44, 940.89 and 591.37 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.44 : 940.89 = 591.37 : x
  2. Step 2: Convert to fraction form
    683.44/940.89 = 591.37/x
  3. Step 3: Cross multiply
    683.44x = 940.89 × 591.37
  4. Step 4: Simplify right side
    683.44x = 556,414.12
  5. Step 5: Solve for x
    x = 556,414.12/683.44
  6. Step 6: Final answer
    x = 814.14

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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.