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Finding the Fourth Proportional to 777.03, 1,165.73 and 229.20

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Solution

The fourth proportional to 777.03, 1,165.73 and 229.20 is: 343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.03 : 1,165.73 = 229.20 : x
  2. Step 2: Convert to fraction form
    777.03/1,165.73 = 229.20/x
  3. Step 3: Cross multiply
    777.03x = 1,165.73 × 229.20
  4. Step 4: Simplify right side
    777.03x = 267,184.17
  5. Step 5: Solve for x
    x = 267,184.17/777.03
  6. Step 6: Final answer
    x = 343.85

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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.