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Finding the Fourth Proportional to 785.91, 1,179.14 and 299.03

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Solution

The fourth proportional to 785.91, 1,179.14 and 299.03 is: 448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.91 : 1,179.14 = 299.03 : x
  2. Step 2: Convert to fraction form
    785.91/1,179.14 = 299.03/x
  3. Step 3: Cross multiply
    785.91x = 1,179.14 × 299.03
  4. Step 4: Simplify right side
    785.91x = 352,599.69
  5. Step 5: Solve for x
    x = 352,599.69/785.91
  6. Step 6: Final answer
    x = 448.65

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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.