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Finding the Fourth Proportional to 709.68, 1,063.13 and 344.71

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Solution

The fourth proportional to 709.68, 1,063.13 and 344.71 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.68 : 1,063.13 = 344.71 : x
  2. Step 2: Convert to fraction form
    709.68/1,063.13 = 344.71/x
  3. Step 3: Cross multiply
    709.68x = 1,063.13 × 344.71
  4. Step 4: Simplify right side
    709.68x = 366,466.23
  5. Step 5: Solve for x
    x = 366,466.23/709.68
  6. Step 6: Final answer
    x = 516.38

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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.