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Finding the Fourth Proportional to 786.12, 1,179.45 and 299.31

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Solution

The fourth proportional to 786.12, 1,179.45 and 299.31 is: 449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.12 : 1,179.45 = 299.31 : x
  2. Step 2: Convert to fraction form
    786.12/1,179.45 = 299.31/x
  3. Step 3: Cross multiply
    786.12x = 1,179.45 × 299.31
  4. Step 4: Simplify right side
    786.12x = 353,021.18
  5. Step 5: Solve for x
    x = 353,021.18/786.12
  6. Step 6: Final answer
    x = 449.07

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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.