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Finding the Fourth Proportional to 692.45, 1,038.73 and 418.13

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Solution

The fourth proportional to 692.45, 1,038.73 and 418.13 is: 627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.45 : 1,038.73 = 418.13 : x
  2. Step 2: Convert to fraction form
    692.45/1,038.73 = 418.13/x
  3. Step 3: Cross multiply
    692.45x = 1,038.73 × 418.13
  4. Step 4: Simplify right side
    692.45x = 434,318.98
  5. Step 5: Solve for x
    x = 434,318.98/692.45
  6. Step 6: Final answer
    x = 627.23

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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.