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Finding the Fourth Proportional to 1,216.78, 1,825.20 and 827.10

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Solution

The fourth proportional to 1,216.78, 1,825.20 and 827.10 is: 1,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.78 : 1,825.20 = 827.10 : x
  2. Step 2: Convert to fraction form
    1,216.78/1,825.20 = 827.10/x
  3. Step 3: Cross multiply
    1,216.78x = 1,825.20 × 827.10
  4. Step 4: Simplify right side
    1,216.78x = 1,509,622.92
  5. Step 5: Solve for x
    x = 1,509,622.92/1,216.78
  6. Step 6: Final answer
    x = 1,240.67

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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.