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Finding the Fourth Proportional to 1,641.25, 2,463.09 and 775.77

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Solution

The fourth proportional to 1,641.25, 2,463.09 and 775.77 is: 1,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.25 : 2,463.09 = 775.77 : x
  2. Step 2: Convert to fraction form
    1,641.25/2,463.09 = 775.77/x
  3. Step 3: Cross multiply
    1,641.25x = 2,463.09 × 775.77
  4. Step 4: Simplify right side
    1,641.25x = 1,910,791.33
  5. Step 5: Solve for x
    x = 1,910,791.33/1,641.25
  6. Step 6: Final answer
    x = 1,164.23

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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.