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Finding the Fourth Proportional to 1,219.68, 1,829.88 and 450

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Solution

The fourth proportional to 1,219.68, 1,829.88 and 450 is: 675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.68 : 1,829.88 = 450 : x
  2. Step 2: Convert to fraction form
    1,219.68/1,829.88 = 450/x
  3. Step 3: Cross multiply
    1,219.68x = 1,829.88 × 450
  4. Step 4: Simplify right side
    1,219.68x = 823,446
  5. Step 5: Solve for x
    x = 823,446/1,219.68
  6. Step 6: Final answer
    x = 675.13

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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.