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Finding the Fourth Proportional to 683.03, 1,024.26 and 293.22

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Solution

The fourth proportional to 683.03, 1,024.26 and 293.22 is: 439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.03 : 1,024.26 = 293.22 : x
  2. Step 2: Convert to fraction form
    683.03/1,024.26 = 293.22/x
  3. Step 3: Cross multiply
    683.03x = 1,024.26 × 293.22
  4. Step 4: Simplify right side
    683.03x = 300,334.07
  5. Step 5: Solve for x
    x = 300,334.07/683.03
  6. Step 6: Final answer
    x = 439.71

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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.