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Finding the Fourth Proportional to 769.86, 1,059.94 and 622.98

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Solution

The fourth proportional to 769.86, 1,059.94 and 622.98 is: 857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.86 : 1,059.94 = 622.98 : x
  2. Step 2: Convert to fraction form
    769.86/1,059.94 = 622.98/x
  3. Step 3: Cross multiply
    769.86x = 1,059.94 × 622.98
  4. Step 4: Simplify right side
    769.86x = 660,314.56
  5. Step 5: Solve for x
    x = 660,314.56/769.86
  6. Step 6: Final answer
    x = 857.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.