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Finding the Fourth Proportional to 896.20, 1,344.74 and 828.77

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Solution

The fourth proportional to 896.20, 1,344.74 and 828.77 is: 1,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.20 : 1,344.74 = 828.77 : x
  2. Step 2: Convert to fraction form
    896.20/1,344.74 = 828.77/x
  3. Step 3: Cross multiply
    896.20x = 1,344.74 × 828.77
  4. Step 4: Simplify right side
    896.20x = 1,114,469.30
  5. Step 5: Solve for x
    x = 1,114,469.30/896.20
  6. Step 6: Final answer
    x = 1,243.55

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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.