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Finding the Fourth Proportional to 1,794.85, 2,692.27 and 496.31

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Solution

The fourth proportional to 1,794.85, 2,692.27 and 496.31 is: 744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.85 : 2,692.27 = 496.31 : x
  2. Step 2: Convert to fraction form
    1,794.85/2,692.27 = 496.31/x
  3. Step 3: Cross multiply
    1,794.85x = 2,692.27 × 496.31
  4. Step 4: Simplify right side
    1,794.85x = 1,336,206.01
  5. Step 5: Solve for x
    x = 1,336,206.01/1,794.85
  6. Step 6: Final answer
    x = 744.47

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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.