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Finding the Fourth Proportional to 768.92, 1,152.86 and 402.99

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Solution

The fourth proportional to 768.92, 1,152.86 and 402.99 is: 604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.92 : 1,152.86 = 402.99 : x
  2. Step 2: Convert to fraction form
    768.92/1,152.86 = 402.99/x
  3. Step 3: Cross multiply
    768.92x = 1,152.86 × 402.99
  4. Step 4: Simplify right side
    768.92x = 464,589.04
  5. Step 5: Solve for x
    x = 464,589.04/768.92
  6. Step 6: Final answer
    x = 604.21

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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.