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Finding the Fourth Proportional to 683.28, 1,024.56 and 390.78

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Solution

The fourth proportional to 683.28, 1,024.56 and 390.78 is: 585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.28 : 1,024.56 = 390.78 : x
  2. Step 2: Convert to fraction form
    683.28/1,024.56 = 390.78/x
  3. Step 3: Cross multiply
    683.28x = 1,024.56 × 390.78
  4. Step 4: Simplify right side
    683.28x = 400,377.56
  5. Step 5: Solve for x
    x = 400,377.56/683.28
  6. Step 6: Final answer
    x = 585.96

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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.