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Finding the Fourth Proportional to 777.17, 1,165.53 and 229.25

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Solution

The fourth proportional to 777.17, 1,165.53 and 229.25 is: 343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.17 : 1,165.53 = 229.25 : x
  2. Step 2: Convert to fraction form
    777.17/1,165.53 = 229.25/x
  3. Step 3: Cross multiply
    777.17x = 1,165.53 × 229.25
  4. Step 4: Simplify right side
    777.17x = 267,197.75
  5. Step 5: Solve for x
    x = 267,197.75/777.17
  6. Step 6: Final answer
    x = 343.81

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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.