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Finding the Fourth Proportional to 1,490.87, 2,057.44 and 827.72

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Solution

The fourth proportional to 1,490.87, 2,057.44 and 827.72 is: 1,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.87 : 2,057.44 = 827.72 : x
  2. Step 2: Convert to fraction form
    1,490.87/2,057.44 = 827.72/x
  3. Step 3: Cross multiply
    1,490.87x = 2,057.44 × 827.72
  4. Step 4: Simplify right side
    1,490.87x = 1,702,971.88
  5. Step 5: Solve for x
    x = 1,702,971.88/1,490.87
  6. Step 6: Final answer
    x = 1,142.27

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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.