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Finding the Fourth Proportional to 1,331.14, 1,996.70 and 509.80

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Solution

The fourth proportional to 1,331.14, 1,996.70 and 509.80 is: 764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.14 : 1,996.70 = 509.80 : x
  2. Step 2: Convert to fraction form
    1,331.14/1,996.70 = 509.80/x
  3. Step 3: Cross multiply
    1,331.14x = 1,996.70 × 509.80
  4. Step 4: Simplify right side
    1,331.14x = 1,017,917.66
  5. Step 5: Solve for x
    x = 1,017,917.66/1,331.14
  6. Step 6: Final answer
    x = 764.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.