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Finding the Fourth Proportional to 1,795.24, 2,692.46 and 496.76

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Solution

The fourth proportional to 1,795.24, 2,692.46 and 496.76 is: 745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.24 : 2,692.46 = 496.76 : x
  2. Step 2: Convert to fraction form
    1,795.24/2,692.46 = 496.76/x
  3. Step 3: Cross multiply
    1,795.24x = 2,692.46 × 496.76
  4. Step 4: Simplify right side
    1,795.24x = 1,337,506.43
  5. Step 5: Solve for x
    x = 1,337,506.43/1,795.24
  6. Step 6: Final answer
    x = 745.03

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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.