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Finding the Fourth Proportional to 692.61, 1,038.27 and 363.48

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Solution

The fourth proportional to 692.61, 1,038.27 and 363.48 is: 544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.61 : 1,038.27 = 363.48 : x
  2. Step 2: Convert to fraction form
    692.61/1,038.27 = 363.48/x
  3. Step 3: Cross multiply
    692.61x = 1,038.27 × 363.48
  4. Step 4: Simplify right side
    692.61x = 377,390.38
  5. Step 5: Solve for x
    x = 377,390.38/692.61
  6. Step 6: Final answer
    x = 544.88

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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.