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Finding the Fourth Proportional to 709.14, 1,063.93 and 343.95

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Solution

The fourth proportional to 709.14, 1,063.93 and 343.95 is: 516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.14 : 1,063.93 = 343.95 : x
  2. Step 2: Convert to fraction form
    709.14/1,063.93 = 343.95/x
  3. Step 3: Cross multiply
    709.14x = 1,063.93 × 343.95
  4. Step 4: Simplify right side
    709.14x = 365,938.72
  5. Step 5: Solve for x
    x = 365,938.72/709.14
  6. Step 6: Final answer
    x = 516.03

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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.