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Finding the Fourth Proportional to 773.24, 1,158.96 and 285.98

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Solution

The fourth proportional to 773.24, 1,158.96 and 285.98 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.24 : 1,158.96 = 285.98 : x
  2. Step 2: Convert to fraction form
    773.24/1,158.96 = 285.98/x
  3. Step 3: Cross multiply
    773.24x = 1,158.96 × 285.98
  4. Step 4: Simplify right side
    773.24x = 331,439.38
  5. Step 5: Solve for x
    x = 331,439.38/773.24
  6. Step 6: Final answer
    x = 428.64

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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.