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Finding the Fourth Proportional to 682.44, 1,023.16 and 394.08

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Solution

The fourth proportional to 682.44, 1,023.16 and 394.08 is: 590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.44 : 1,023.16 = 394.08 : x
  2. Step 2: Convert to fraction form
    682.44/1,023.16 = 394.08/x
  3. Step 3: Cross multiply
    682.44x = 1,023.16 × 394.08
  4. Step 4: Simplify right side
    682.44x = 403,206.89
  5. Step 5: Solve for x
    x = 403,206.89/682.44
  6. Step 6: Final answer
    x = 590.83

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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.