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Finding the Fourth Proportional to 709.47, 1,064.49 and 344.22

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Solution

The fourth proportional to 709.47, 1,064.49 and 344.22 is: 516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.47 : 1,064.49 = 344.22 : x
  2. Step 2: Convert to fraction form
    709.47/1,064.49 = 344.22/x
  3. Step 3: Cross multiply
    709.47x = 1,064.49 × 344.22
  4. Step 4: Simplify right side
    709.47x = 366,418.75
  5. Step 5: Solve for x
    x = 366,418.75/709.47
  6. Step 6: Final answer
    x = 516.47

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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.