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Finding the Fourth Proportional to 1,644.94, 2,468.62 and 779.25

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Solution

The fourth proportional to 1,644.94, 2,468.62 and 779.25 is: 1,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.94 : 2,468.62 = 779.25 : x
  2. Step 2: Convert to fraction form
    1,644.94/2,468.62 = 779.25/x
  3. Step 3: Cross multiply
    1,644.94x = 2,468.62 × 779.25
  4. Step 4: Simplify right side
    1,644.94x = 1,923,673.11
  5. Step 5: Solve for x
    x = 1,923,673.11/1,644.94
  6. Step 6: Final answer
    x = 1,169.45

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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.