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Finding the Fourth Proportional to 1,794.96, 2,692.44 and 496.44

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Solution

The fourth proportional to 1,794.96, 2,692.44 and 496.44 is: 744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.96 : 2,692.44 = 496.44 : x
  2. Step 2: Convert to fraction form
    1,794.96/2,692.44 = 496.44/x
  3. Step 3: Cross multiply
    1,794.96x = 2,692.44 × 496.44
  4. Step 4: Simplify right side
    1,794.96x = 1,336,634.91
  5. Step 5: Solve for x
    x = 1,336,634.91/1,794.96
  6. Step 6: Final answer
    x = 744.66

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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.