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Finding the Fourth Proportional to 683.49, 1,026.39 and 425

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Solution

The fourth proportional to 683.49, 1,026.39 and 425 is: 638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.49 : 1,026.39 = 425 : x
  2. Step 2: Convert to fraction form
    683.49/1,026.39 = 425/x
  3. Step 3: Cross multiply
    683.49x = 1,026.39 × 425
  4. Step 4: Simplify right side
    683.49x = 436,215.75
  5. Step 5: Solve for x
    x = 436,215.75/683.49
  6. Step 6: Final answer
    x = 638.22

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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.