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Finding the Fourth Proportional to 1,344.45, 2,016.68 and 523.31

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Solution

The fourth proportional to 1,344.45, 2,016.68 and 523.31 is: 784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.45 : 2,016.68 = 523.31 : x
  2. Step 2: Convert to fraction form
    1,344.45/2,016.68 = 523.31/x
  3. Step 3: Cross multiply
    1,344.45x = 2,016.68 × 523.31
  4. Step 4: Simplify right side
    1,344.45x = 1,055,336.11
  5. Step 5: Solve for x
    x = 1,055,336.11/1,344.45
  6. Step 6: Final answer
    x = 784.96

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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.