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Finding the Fourth Proportional to 1,645.48, 2,467.26 and 779.80

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Solution

The fourth proportional to 1,645.48, 2,467.26 and 779.80 is: 1,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.48 : 2,467.26 = 779.80 : x
  2. Step 2: Convert to fraction form
    1,645.48/2,467.26 = 779.80/x
  3. Step 3: Cross multiply
    1,645.48x = 2,467.26 × 779.80
  4. Step 4: Simplify right side
    1,645.48x = 1,923,969.35
  5. Step 5: Solve for x
    x = 1,923,969.35/1,645.48
  6. Step 6: Final answer
    x = 1,169.25

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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.