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Finding the Fourth Proportional to 709.43, 1,064.34 and 343.98

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Solution

The fourth proportional to 709.43, 1,064.34 and 343.98 is: 516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.43 : 1,064.34 = 343.98 : x
  2. Step 2: Convert to fraction form
    709.43/1,064.34 = 343.98/x
  3. Step 3: Cross multiply
    709.43x = 1,064.34 × 343.98
  4. Step 4: Simplify right side
    709.43x = 366,111.67
  5. Step 5: Solve for x
    x = 366,111.67/709.43
  6. Step 6: Final answer
    x = 516.07

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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.