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Finding the Fourth Proportional to 1,481.39, 2,044.43 and 852.11

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Solution

The fourth proportional to 1,481.39, 2,044.43 and 852.11 is: 1,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.39 : 2,044.43 = 852.11 : x
  2. Step 2: Convert to fraction form
    1,481.39/2,044.43 = 852.11/x
  3. Step 3: Cross multiply
    1,481.39x = 2,044.43 × 852.11
  4. Step 4: Simplify right side
    1,481.39x = 1,742,079.25
  5. Step 5: Solve for x
    x = 1,742,079.25/1,481.39
  6. Step 6: Final answer
    x = 1,175.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.