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Finding the Fourth Proportional to 835.78, 1,253.65 and 219.47

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Solution

The fourth proportional to 835.78, 1,253.65 and 219.47 is: 329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.78 : 1,253.65 = 219.47 : x
  2. Step 2: Convert to fraction form
    835.78/1,253.65 = 219.47/x
  3. Step 3: Cross multiply
    835.78x = 1,253.65 × 219.47
  4. Step 4: Simplify right side
    835.78x = 275,138.57
  5. Step 5: Solve for x
    x = 275,138.57/835.78
  6. Step 6: Final answer
    x = 329.20

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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.