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Finding the Fourth Proportional to 692.76, 1,039.26 and 230.42

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Solution

The fourth proportional to 692.76, 1,039.26 and 230.42 is: 345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.76 : 1,039.26 = 230.42 : x
  2. Step 2: Convert to fraction form
    692.76/1,039.26 = 230.42/x
  3. Step 3: Cross multiply
    692.76x = 1,039.26 × 230.42
  4. Step 4: Simplify right side
    692.76x = 239,469.75
  5. Step 5: Solve for x
    x = 239,469.75/692.76
  6. Step 6: Final answer
    x = 345.67

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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.