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Finding the Fourth Proportional to 683.33, 1,023.40 and 439.11

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Solution

The fourth proportional to 683.33, 1,023.40 and 439.11 is: 657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.33 : 1,023.40 = 439.11 : x
  2. Step 2: Convert to fraction form
    683.33/1,023.40 = 439.11/x
  3. Step 3: Cross multiply
    683.33x = 1,023.40 × 439.11
  4. Step 4: Simplify right side
    683.33x = 449,385.72
  5. Step 5: Solve for x
    x = 449,385.72/683.33
  6. Step 6: Final answer
    x = 657.65

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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.