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Finding the Fourth Proportional to 786.26, 1,179.86 and 299.31

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Solution

The fourth proportional to 786.26, 1,179.86 and 299.31 is: 449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.26 : 1,179.86 = 299.31 : x
  2. Step 2: Convert to fraction form
    786.26/1,179.86 = 299.31/x
  3. Step 3: Cross multiply
    786.26x = 1,179.86 × 299.31
  4. Step 4: Simplify right side
    786.26x = 353,142.40
  5. Step 5: Solve for x
    x = 353,142.40/786.26
  6. Step 6: Final answer
    x = 449.14

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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.