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Finding the Fourth Proportional to 1,213.56, 1,819.89 and 665.00

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Solution

The fourth proportional to 1,213.56, 1,819.89 and 665.00 is: 997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.56 : 1,819.89 = 665.00 : x
  2. Step 2: Convert to fraction form
    1,213.56/1,819.89 = 665.00/x
  3. Step 3: Cross multiply
    1,213.56x = 1,819.89 × 665.00
  4. Step 4: Simplify right side
    1,213.56x = 1,210,217.75
  5. Step 5: Solve for x
    x = 1,210,217.75/1,213.56
  6. Step 6: Final answer
    x = 997.25

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Double scale
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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.