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Finding the Fourth Proportional to 786.05, 1,179.14 and 299.11

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Solution

The fourth proportional to 786.05, 1,179.14 and 299.11 is: 448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.05 : 1,179.14 = 299.11 : x
  2. Step 2: Convert to fraction form
    786.05/1,179.14 = 299.11/x
  3. Step 3: Cross multiply
    786.05x = 1,179.14 × 299.11
  4. Step 4: Simplify right side
    786.05x = 352,692.57
  5. Step 5: Solve for x
    x = 352,692.57/786.05
  6. Step 6: Final answer
    x = 448.69

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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.