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Finding the Fourth Proportional to 777.46, 1,165.32 and 344.56

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Solution

The fourth proportional to 777.46, 1,165.32 and 344.56 is: 516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.46 : 1,165.32 = 344.56 : x
  2. Step 2: Convert to fraction form
    777.46/1,165.32 = 344.56/x
  3. Step 3: Cross multiply
    777.46x = 1,165.32 × 344.56
  4. Step 4: Simplify right side
    777.46x = 401,522.66
  5. Step 5: Solve for x
    x = 401,522.66/777.46
  6. Step 6: Final answer
    x = 516.45

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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.