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Finding the Fourth Proportional to 1,331.23, 1,997.83 and 499.06

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Solution

The fourth proportional to 1,331.23, 1,997.83 and 499.06 is: 748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.23 : 1,997.83 = 499.06 : x
  2. Step 2: Convert to fraction form
    1,331.23/1,997.83 = 499.06/x
  3. Step 3: Cross multiply
    1,331.23x = 1,997.83 × 499.06
  4. Step 4: Simplify right side
    1,331.23x = 997,037.04
  5. Step 5: Solve for x
    x = 997,037.04/1,331.23
  6. Step 6: Final answer
    x = 748.96

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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.