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Finding the Fourth Proportional to 1,309.12, 1,964 and 443.44

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Solution

The fourth proportional to 1,309.12, 1,964 and 443.44 is: 665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.12 : 1,964 = 443.44 : x
  2. Step 2: Convert to fraction form
    1,309.12/1,964 = 443.44/x
  3. Step 3: Cross multiply
    1,309.12x = 1,964 × 443.44
  4. Step 4: Simplify right side
    1,309.12x = 870,916.16
  5. Step 5: Solve for x
    x = 870,916.16/1,309.12
  6. Step 6: Final answer
    x = 665.27

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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.