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Finding the Fourth Proportional to 683.26, 1,025.37 and 341.50

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Solution

The fourth proportional to 683.26, 1,025.37 and 341.50 is: 512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.26 : 1,025.37 = 341.50 : x
  2. Step 2: Convert to fraction form
    683.26/1,025.37 = 341.50/x
  3. Step 3: Cross multiply
    683.26x = 1,025.37 × 341.50
  4. Step 4: Simplify right side
    683.26x = 350,163.86
  5. Step 5: Solve for x
    x = 350,163.86/683.26
  6. Step 6: Final answer
    x = 512.49

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Why These Related Problems?

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