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Finding the Fourth Proportional to 682.24, 1,023.04 and 394.24

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Solution

The fourth proportional to 682.24, 1,023.04 and 394.24 is: 591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.24 : 1,023.04 = 394.24 : x
  2. Step 2: Convert to fraction form
    682.24/1,023.04 = 394.24/x
  3. Step 3: Cross multiply
    682.24x = 1,023.04 × 394.24
  4. Step 4: Simplify right side
    682.24x = 403,323.29
  5. Step 5: Solve for x
    x = 403,323.29/682.24
  6. Step 6: Final answer
    x = 591.18

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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.