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Finding the Fourth Proportional to 683.70, 941.13 and 596.22

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Solution

The fourth proportional to 683.70, 941.13 and 596.22 is: 820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.70 : 941.13 = 596.22 : x
  2. Step 2: Convert to fraction form
    683.70/941.13 = 596.22/x
  3. Step 3: Cross multiply
    683.70x = 941.13 × 596.22
  4. Step 4: Simplify right side
    683.70x = 561,120.53
  5. Step 5: Solve for x
    x = 561,120.53/683.70
  6. Step 6: Final answer
    x = 820.71

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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.