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Finding the Fourth Proportional to 682.48, 1,023.61 and 249.53

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Solution

The fourth proportional to 682.48, 1,023.61 and 249.53 is: 374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.48 : 1,023.61 = 249.53 : x
  2. Step 2: Convert to fraction form
    682.48/1,023.61 = 249.53/x
  3. Step 3: Cross multiply
    682.48x = 1,023.61 × 249.53
  4. Step 4: Simplify right side
    682.48x = 255,423.96
  5. Step 5: Solve for x
    x = 255,423.96/682.48
  6. Step 6: Final answer
    x = 374.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.