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Finding the Fourth Proportional to 768.56, 1,152.01 and 299.92

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Solution

The fourth proportional to 768.56, 1,152.01 and 299.92 is: 449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.56 : 1,152.01 = 299.92 : x
  2. Step 2: Convert to fraction form
    768.56/1,152.01 = 299.92/x
  3. Step 3: Cross multiply
    768.56x = 1,152.01 × 299.92
  4. Step 4: Simplify right side
    768.56x = 345,505.21
  5. Step 5: Solve for x
    x = 345,505.21/768.56
  6. Step 6: Final answer
    x = 449.55

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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.