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Finding the Fourth Proportional to 683.29, 944.26 and 517.21

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Solution

The fourth proportional to 683.29, 944.26 and 517.21 is: 714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.29 : 944.26 = 517.21 : x
  2. Step 2: Convert to fraction form
    683.29/944.26 = 517.21/x
  3. Step 3: Cross multiply
    683.29x = 944.26 × 517.21
  4. Step 4: Simplify right side
    683.29x = 488,380.71
  5. Step 5: Solve for x
    x = 488,380.71/683.29
  6. Step 6: Final answer
    x = 714.75

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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.