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Finding the Fourth Proportional to 773.15, 1,159.93 and 225.34

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Solution

The fourth proportional to 773.15, 1,159.93 and 225.34 is: 338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.15 : 1,159.93 = 225.34 : x
  2. Step 2: Convert to fraction form
    773.15/1,159.93 = 225.34/x
  3. Step 3: Cross multiply
    773.15x = 1,159.93 × 225.34
  4. Step 4: Simplify right side
    773.15x = 261,371.70
  5. Step 5: Solve for x
    x = 261,371.70/773.15
  6. Step 6: Final answer
    x = 338.06

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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.