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Finding the Fourth Proportional to 709.53, 1,064.17 and 344.22

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Solution

The fourth proportional to 709.53, 1,064.17 and 344.22 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.53 : 1,064.17 = 344.22 : x
  2. Step 2: Convert to fraction form
    709.53/1,064.17 = 344.22/x
  3. Step 3: Cross multiply
    709.53x = 1,064.17 × 344.22
  4. Step 4: Simplify right side
    709.53x = 366,308.60
  5. Step 5: Solve for x
    x = 366,308.60/709.53
  6. Step 6: Final answer
    x = 516.27

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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.