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Finding the Fourth Proportional to 708.97, 1,062.53 and 343.26

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Solution

The fourth proportional to 708.97, 1,062.53 and 343.26 is: 514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.97 : 1,062.53 = 343.26 : x
  2. Step 2: Convert to fraction form
    708.97/1,062.53 = 343.26/x
  3. Step 3: Cross multiply
    708.97x = 1,062.53 × 343.26
  4. Step 4: Simplify right side
    708.97x = 364,717.02
  5. Step 5: Solve for x
    x = 364,717.02/708.97
  6. Step 6: Final answer
    x = 514.43

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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.