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Finding the Fourth Proportional to 1,794.84, 2,692.28 and 640.56

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Solution

The fourth proportional to 1,794.84, 2,692.28 and 640.56 is: 960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.84 : 2,692.28 = 640.56 : x
  2. Step 2: Convert to fraction form
    1,794.84/2,692.28 = 640.56/x
  3. Step 3: Cross multiply
    1,794.84x = 2,692.28 × 640.56
  4. Step 4: Simplify right side
    1,794.84x = 1,724,566.88
  5. Step 5: Solve for x
    x = 1,724,566.88/1,794.84
  6. Step 6: Final answer
    x = 960.85

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Why These Related Problems?

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