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Finding the Fourth Proportional to 1,427.87, 2,141.99 and 550.35

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Solution

The fourth proportional to 1,427.87, 2,141.99 and 550.35 is: 825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.87 : 2,141.99 = 550.35 : x
  2. Step 2: Convert to fraction form
    1,427.87/2,141.99 = 550.35/x
  3. Step 3: Cross multiply
    1,427.87x = 2,141.99 × 550.35
  4. Step 4: Simplify right side
    1,427.87x = 1,178,843.51
  5. Step 5: Solve for x
    x = 1,178,843.51/1,427.87
  6. Step 6: Final answer
    x = 825.59

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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.