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Finding the Fourth Proportional to 708.12, 1,059.96 and 447.22

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Solution

The fourth proportional to 708.12, 1,059.96 and 447.22 is: 669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.12 : 1,059.96 = 447.22 : x
  2. Step 2: Convert to fraction form
    708.12/1,059.96 = 447.22/x
  3. Step 3: Cross multiply
    708.12x = 1,059.96 × 447.22
  4. Step 4: Simplify right side
    708.12x = 474,033.08
  5. Step 5: Solve for x
    x = 474,033.08/708.12
  6. Step 6: Final answer
    x = 669.42

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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.