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Finding the Fourth Proportional to 683.16, 1,025.07 and 394.62

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Solution

The fourth proportional to 683.16, 1,025.07 and 394.62 is: 592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 1,025.07 = 394.62 : x
  2. Step 2: Convert to fraction form
    683.16/1,025.07 = 394.62/x
  3. Step 3: Cross multiply
    683.16x = 1,025.07 × 394.62
  4. Step 4: Simplify right side
    683.16x = 404,513.12
  5. Step 5: Solve for x
    x = 404,513.12/683.16
  6. Step 6: Final answer
    x = 592.12

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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.