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Finding the Fourth Proportional to 692.21, 955.73 and 496.73

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Solution

The fourth proportional to 692.21, 955.73 and 496.73 is: 685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.21 : 955.73 = 496.73 : x
  2. Step 2: Convert to fraction form
    692.21/955.73 = 496.73/x
  3. Step 3: Cross multiply
    692.21x = 955.73 × 496.73
  4. Step 4: Simplify right side
    692.21x = 474,739.76
  5. Step 5: Solve for x
    x = 474,739.76/692.21
  6. Step 6: Final answer
    x = 685.83

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Why These Related Problems?

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