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Finding the Fourth Proportional to 771.86, 1,157.41 and 381.74

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Solution

The fourth proportional to 771.86, 1,157.41 and 381.74 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.86 : 1,157.41 = 381.74 : x
  2. Step 2: Convert to fraction form
    771.86/1,157.41 = 381.74/x
  3. Step 3: Cross multiply
    771.86x = 1,157.41 × 381.74
  4. Step 4: Simplify right side
    771.86x = 441,825.10
  5. Step 5: Solve for x
    x = 441,825.10/771.86
  6. Step 6: Final answer
    x = 572.42

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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.