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Finding the Fourth Proportional to 1,219.26, 1,829.02 and 449.76

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Solution

The fourth proportional to 1,219.26, 1,829.02 and 449.76 is: 674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.26 : 1,829.02 = 449.76 : x
  2. Step 2: Convert to fraction form
    1,219.26/1,829.02 = 449.76/x
  3. Step 3: Cross multiply
    1,219.26x = 1,829.02 × 449.76
  4. Step 4: Simplify right side
    1,219.26x = 822,620.04
  5. Step 5: Solve for x
    x = 822,620.04/1,219.26
  6. Step 6: Final answer
    x = 674.69

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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.