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Finding the Fourth Proportional to 692.12, 954.11 and 495.29

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Solution

The fourth proportional to 692.12, 954.11 and 495.29 is: 682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.12 : 954.11 = 495.29 : x
  2. Step 2: Convert to fraction form
    692.12/954.11 = 495.29/x
  3. Step 3: Cross multiply
    692.12x = 954.11 × 495.29
  4. Step 4: Simplify right side
    692.12x = 472,556.37
  5. Step 5: Solve for x
    x = 472,556.37/692.12
  6. Step 6: Final answer
    x = 682.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.