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Finding the Fourth Proportional to 1,250.24, 1,724.09 and 809.19

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Solution

The fourth proportional to 1,250.24, 1,724.09 and 809.19 is: 1,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.24 : 1,724.09 = 809.19 : x
  2. Step 2: Convert to fraction form
    1,250.24/1,724.09 = 809.19/x
  3. Step 3: Cross multiply
    1,250.24x = 1,724.09 × 809.19
  4. Step 4: Simplify right side
    1,250.24x = 1,395,112.34
  5. Step 5: Solve for x
    x = 1,395,112.34/1,250.24
  6. Step 6: Final answer
    x = 1,115.88

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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.