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Finding the Fourth Proportional to 1,481.49, 2,044.61 and 852.04

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Solution

The fourth proportional to 1,481.49, 2,044.61 and 852.04 is: 1,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.49 : 2,044.61 = 852.04 : x
  2. Step 2: Convert to fraction form
    1,481.49/2,044.61 = 852.04/x
  3. Step 3: Cross multiply
    1,481.49x = 2,044.61 × 852.04
  4. Step 4: Simplify right side
    1,481.49x = 1,742,091.00
  5. Step 5: Solve for x
    x = 1,742,091.00/1,481.49
  6. Step 6: Final answer
    x = 1,175.90

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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.