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Finding the Fourth Proportional to 1,331.13, 1,996.70 and 509.22

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Solution

The fourth proportional to 1,331.13, 1,996.70 and 509.22 is: 763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.13 : 1,996.70 = 509.22 : x
  2. Step 2: Convert to fraction form
    1,331.13/1,996.70 = 509.22/x
  3. Step 3: Cross multiply
    1,331.13x = 1,996.70 × 509.22
  4. Step 4: Simplify right side
    1,331.13x = 1,016,759.57
  5. Step 5: Solve for x
    x = 1,016,759.57/1,331.13
  6. Step 6: Final answer
    x = 763.83

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Double scale
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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.