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Finding the Fourth Proportional to 1,650.92, 2,474.60 and 827.56

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Solution

The fourth proportional to 1,650.92, 2,474.60 and 827.56 is: 1,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.92 : 2,474.60 = 827.56 : x
  2. Step 2: Convert to fraction form
    1,650.92/2,474.60 = 827.56/x
  3. Step 3: Cross multiply
    1,650.92x = 2,474.60 × 827.56
  4. Step 4: Simplify right side
    1,650.92x = 2,047,879.98
  5. Step 5: Solve for x
    x = 2,047,879.98/1,650.92
  6. Step 6: Final answer
    x = 1,240.45

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1.5x scale

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.