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Finding the Fourth Proportional to 1,219, 1,828.50 and 449.50

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Solution

The fourth proportional to 1,219, 1,828.50 and 449.50 is: 674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219 : 1,828.50 = 449.50 : x
  2. Step 2: Convert to fraction form
    1,219/1,828.50 = 449.50/x
  3. Step 3: Cross multiply
    1,219x = 1,828.50 × 449.50
  4. Step 4: Simplify right side
    1,219x = 821,910.75
  5. Step 5: Solve for x
    x = 821,910.75/1,219
  6. Step 6: Final answer
    x = 674.25

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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.