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Finding the Fourth Proportional to 777.01, 1,165.24 and 229.19

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Solution

The fourth proportional to 777.01, 1,165.24 and 229.19 is: 343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.01 : 1,165.24 = 229.19 : x
  2. Step 2: Convert to fraction form
    777.01/1,165.24 = 229.19/x
  3. Step 3: Cross multiply
    777.01x = 1,165.24 × 229.19
  4. Step 4: Simplify right side
    777.01x = 267,061.36
  5. Step 5: Solve for x
    x = 267,061.36/777.01
  6. Step 6: Final answer
    x = 343.70

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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.