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Finding the Fourth Proportional to 1,490.82, 2,057.46 and 827.80

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Solution

The fourth proportional to 1,490.82, 2,057.46 and 827.80 is: 1,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.82 : 2,057.46 = 827.80 : x
  2. Step 2: Convert to fraction form
    1,490.82/2,057.46 = 827.80/x
  3. Step 3: Cross multiply
    1,490.82x = 2,057.46 × 827.80
  4. Step 4: Simplify right side
    1,490.82x = 1,703,157.14
  5. Step 5: Solve for x
    x = 1,703,157.14/1,490.82
  6. Step 6: Final answer
    x = 1,142.43

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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.