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Finding the Fourth Proportional to 692.93, 1,039.37 and 384.62

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Solution

The fourth proportional to 692.93, 1,039.37 and 384.62 is: 576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 1,039.37 = 384.62 : x
  2. Step 2: Convert to fraction form
    692.93/1,039.37 = 384.62/x
  3. Step 3: Cross multiply
    692.93x = 1,039.37 × 384.62
  4. Step 4: Simplify right side
    692.93x = 399,755.37
  5. Step 5: Solve for x
    x = 399,755.37/692.93
  6. Step 6: Final answer
    x = 576.90

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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.