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Finding the Fourth Proportional to 786.87, 1,180.80 and 299.97

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Solution

The fourth proportional to 786.87, 1,180.80 and 299.97 is: 450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.87 : 1,180.80 = 299.97 : x
  2. Step 2: Convert to fraction form
    786.87/1,180.80 = 299.97/x
  3. Step 3: Cross multiply
    786.87x = 1,180.80 × 299.97
  4. Step 4: Simplify right side
    786.87x = 354,204.58
  5. Step 5: Solve for x
    x = 354,204.58/786.87
  6. Step 6: Final answer
    x = 450.14

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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.