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Finding the Fourth Proportional to 683.11, 1,025.09 and 317.93

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Solution

The fourth proportional to 683.11, 1,025.09 and 317.93 is: 477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.11 : 1,025.09 = 317.93 : x
  2. Step 2: Convert to fraction form
    683.11/1,025.09 = 317.93/x
  3. Step 3: Cross multiply
    683.11x = 1,025.09 × 317.93
  4. Step 4: Simplify right side
    683.11x = 325,906.86
  5. Step 5: Solve for x
    x = 325,906.86/683.11
  6. Step 6: Final answer
    x = 477.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.