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Finding the Fourth Proportional to 1,305.72, 1,957.20 and 812.12

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Solution

The fourth proportional to 1,305.72, 1,957.20 and 812.12 is: 1,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.72 : 1,957.20 = 812.12 : x
  2. Step 2: Convert to fraction form
    1,305.72/1,957.20 = 812.12/x
  3. Step 3: Cross multiply
    1,305.72x = 1,957.20 × 812.12
  4. Step 4: Simplify right side
    1,305.72x = 1,589,481.26
  5. Step 5: Solve for x
    x = 1,589,481.26/1,305.72
  6. Step 6: Final answer
    x = 1,217.32

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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.