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Finding the Fourth Proportional to 708.38, 1,061.96 and 343.42

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Solution

The fourth proportional to 708.38, 1,061.96 and 343.42 is: 514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.38 : 1,061.96 = 343.42 : x
  2. Step 2: Convert to fraction form
    708.38/1,061.96 = 343.42/x
  3. Step 3: Cross multiply
    708.38x = 1,061.96 × 343.42
  4. Step 4: Simplify right side
    708.38x = 364,698.30
  5. Step 5: Solve for x
    x = 364,698.30/708.38
  6. Step 6: Final answer
    x = 514.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.