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Finding the Fourth Proportional to 682.78, 1,024.46 and 292.86

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Solution

The fourth proportional to 682.78, 1,024.46 and 292.86 is: 439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.78 : 1,024.46 = 292.86 : x
  2. Step 2: Convert to fraction form
    682.78/1,024.46 = 292.86/x
  3. Step 3: Cross multiply
    682.78x = 1,024.46 × 292.86
  4. Step 4: Simplify right side
    682.78x = 300,021.89
  5. Step 5: Solve for x
    x = 300,021.89/682.78
  6. Step 6: Final answer
    x = 439.41

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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.