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Finding the Fourth Proportional to 890.79, 1,229.23 and 492.42

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Solution

The fourth proportional to 890.79, 1,229.23 and 492.42 is: 679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.79 : 1,229.23 = 492.42 : x
  2. Step 2: Convert to fraction form
    890.79/1,229.23 = 492.42/x
  3. Step 3: Cross multiply
    890.79x = 1,229.23 × 492.42
  4. Step 4: Simplify right side
    890.79x = 605,297.44
  5. Step 5: Solve for x
    x = 605,297.44/890.79
  6. Step 6: Final answer
    x = 679.51

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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.