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Finding the Fourth Proportional to 683.36, 1,024.64 and 394.64

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Solution

The fourth proportional to 683.36, 1,024.64 and 394.64 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.36 : 1,024.64 = 394.64 : x
  2. Step 2: Convert to fraction form
    683.36/1,024.64 = 394.64/x
  3. Step 3: Cross multiply
    683.36x = 1,024.64 × 394.64
  4. Step 4: Simplify right side
    683.36x = 404,363.93
  5. Step 5: Solve for x
    x = 404,363.93/683.36
  6. Step 6: Final answer
    x = 591.73

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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.