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Finding the Fourth Proportional to 777.06, 1,165.60 and 229.22

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Solution

The fourth proportional to 777.06, 1,165.60 and 229.22 is: 343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.06 : 1,165.60 = 229.22 : x
  2. Step 2: Convert to fraction form
    777.06/1,165.60 = 229.22/x
  3. Step 3: Cross multiply
    777.06x = 1,165.60 × 229.22
  4. Step 4: Simplify right side
    777.06x = 267,178.83
  5. Step 5: Solve for x
    x = 267,178.83/777.06
  6. Step 6: Final answer
    x = 343.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.