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Finding the Fourth Proportional to 683.66, 944.33 and 573.71

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Solution

The fourth proportional to 683.66, 944.33 and 573.71 is: 792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.66 : 944.33 = 573.71 : x
  2. Step 2: Convert to fraction form
    683.66/944.33 = 573.71/x
  3. Step 3: Cross multiply
    683.66x = 944.33 × 573.71
  4. Step 4: Simplify right side
    683.66x = 541,763.97
  5. Step 5: Solve for x
    x = 541,763.97/683.66
  6. Step 6: Final answer
    x = 792.44

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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.