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Finding the Fourth Proportional to 692.05, 954.30 and 492.79

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Solution

The fourth proportional to 692.05, 954.30 and 492.79 is: 679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.05 : 954.30 = 492.79 : x
  2. Step 2: Convert to fraction form
    692.05/954.30 = 492.79/x
  3. Step 3: Cross multiply
    692.05x = 954.30 × 492.79
  4. Step 4: Simplify right side
    692.05x = 470,269.50
  5. Step 5: Solve for x
    x = 470,269.50/692.05
  6. Step 6: Final answer
    x = 679.53

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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.