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Finding the Fourth Proportional to 1,220.76, 1,684.26 and 827.64

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Solution

The fourth proportional to 1,220.76, 1,684.26 and 827.64 is: 1,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.76 : 1,684.26 = 827.64 : x
  2. Step 2: Convert to fraction form
    1,220.76/1,684.26 = 827.64/x
  3. Step 3: Cross multiply
    1,220.76x = 1,684.26 × 827.64
  4. Step 4: Simplify right side
    1,220.76x = 1,393,960.95
  5. Step 5: Solve for x
    x = 1,393,960.95/1,220.76
  6. Step 6: Final answer
    x = 1,141.88

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Half scale
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Double scale
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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.