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Finding the Fourth Proportional to 773.60, 1,157.40 and 771.44

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Solution

The fourth proportional to 773.60, 1,157.40 and 771.44 is: 1,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.60 : 1,157.40 = 771.44 : x
  2. Step 2: Convert to fraction form
    773.60/1,157.40 = 771.44/x
  3. Step 3: Cross multiply
    773.60x = 1,157.40 × 771.44
  4. Step 4: Simplify right side
    773.60x = 892,864.66
  5. Step 5: Solve for x
    x = 892,864.66/773.60
  6. Step 6: Final answer
    x = 1,154.17

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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.