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Finding the Fourth Proportional to 847.10, 1,270.22 and 299.20

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Solution

The fourth proportional to 847.10, 1,270.22 and 299.20 is: 448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.10 : 1,270.22 = 299.20 : x
  2. Step 2: Convert to fraction form
    847.10/1,270.22 = 299.20/x
  3. Step 3: Cross multiply
    847.10x = 1,270.22 × 299.20
  4. Step 4: Simplify right side
    847.10x = 380,045.15
  5. Step 5: Solve for x
    x = 380,045.15/847.10
  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.