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Finding the Fourth Proportional to 1,104.44, 1,656.97 and 519.42

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Solution

The fourth proportional to 1,104.44, 1,656.97 and 519.42 is: 779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.44 : 1,656.97 = 519.42 : x
  2. Step 2: Convert to fraction form
    1,104.44/1,656.97 = 519.42/x
  3. Step 3: Cross multiply
    1,104.44x = 1,656.97 × 519.42
  4. Step 4: Simplify right side
    1,104.44x = 860,662.06
  5. Step 5: Solve for x
    x = 860,662.06/1,104.44
  6. Step 6: Final answer
    x = 779.27

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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.