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Finding the Fourth Proportional to 786.80, 1,180.24 and 299.78

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Solution

The fourth proportional to 786.80, 1,180.24 and 299.78 is: 449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.80 : 1,180.24 = 299.78 : x
  2. Step 2: Convert to fraction form
    786.80/1,180.24 = 299.78/x
  3. Step 3: Cross multiply
    786.80x = 1,180.24 × 299.78
  4. Step 4: Simplify right side
    786.80x = 353,812.35
  5. Step 5: Solve for x
    x = 353,812.35/786.80
  6. Step 6: Final answer
    x = 449.69

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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.