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Finding the Fourth Proportional to 1,220.70, 1,684.81 and 827.85

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Solution

The fourth proportional to 1,220.70, 1,684.81 and 827.85 is: 1,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.70 : 1,684.81 = 827.85 : x
  2. Step 2: Convert to fraction form
    1,220.70/1,684.81 = 827.85/x
  3. Step 3: Cross multiply
    1,220.70x = 1,684.81 × 827.85
  4. Step 4: Simplify right side
    1,220.70x = 1,394,769.96
  5. Step 5: Solve for x
    x = 1,394,769.96/1,220.70
  6. Step 6: Final answer
    x = 1,142.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.