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Finding the Fourth Proportional to 692.44, 1,039.01 and 363.26

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Solution

The fourth proportional to 692.44, 1,039.01 and 363.26 is: 545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.44 : 1,039.01 = 363.26 : x
  2. Step 2: Convert to fraction form
    692.44/1,039.01 = 363.26/x
  3. Step 3: Cross multiply
    692.44x = 1,039.01 × 363.26
  4. Step 4: Simplify right side
    692.44x = 377,431.55
  5. Step 5: Solve for x
    x = 377,431.55/692.44
  6. Step 6: Final answer
    x = 545.08

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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.