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Finding the Fourth Proportional to 682.96, 1,023.43 and 353.16

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Solution

The fourth proportional to 682.96, 1,023.43 and 353.16 is: 529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.96 : 1,023.43 = 353.16 : x
  2. Step 2: Convert to fraction form
    682.96/1,023.43 = 353.16/x
  3. Step 3: Cross multiply
    682.96x = 1,023.43 × 353.16
  4. Step 4: Simplify right side
    682.96x = 361,428.54
  5. Step 5: Solve for x
    x = 361,428.54/682.96
  6. Step 6: Final answer
    x = 529.21

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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.