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Finding the Fourth Proportional to 773.14, 1,157.90 and 381.92

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Solution

The fourth proportional to 773.14, 1,157.90 and 381.92 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.14 : 1,157.90 = 381.92 : x
  2. Step 2: Convert to fraction form
    773.14/1,157.90 = 381.92/x
  3. Step 3: Cross multiply
    773.14x = 1,157.90 × 381.92
  4. Step 4: Simplify right side
    773.14x = 442,225.17
  5. Step 5: Solve for x
    x = 442,225.17/773.14
  6. Step 6: Final answer
    x = 571.99

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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.