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Finding the Fourth Proportional to 1,735.84, 2,604.77 and 640.97

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Solution

The fourth proportional to 1,735.84, 2,604.77 and 640.97 is: 961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.84 : 2,604.77 = 640.97 : x
  2. Step 2: Convert to fraction form
    1,735.84/2,604.77 = 640.97/x
  3. Step 3: Cross multiply
    1,735.84x = 2,604.77 × 640.97
  4. Step 4: Simplify right side
    1,735.84x = 1,669,568.01
  5. Step 5: Solve for x
    x = 1,669,568.01/1,735.84
  6. Step 6: Final answer
    x = 961.82

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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.