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Finding the Fourth Proportional to 1,221.63, 1,832.99 and 605.36

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Solution

The fourth proportional to 1,221.63, 1,832.99 and 605.36 is: 908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.63 : 1,832.99 = 605.36 : x
  2. Step 2: Convert to fraction form
    1,221.63/1,832.99 = 605.36/x
  3. Step 3: Cross multiply
    1,221.63x = 1,832.99 × 605.36
  4. Step 4: Simplify right side
    1,221.63x = 1,109,606.63
  5. Step 5: Solve for x
    x = 1,109,606.63/1,221.63
  6. Step 6: Final answer
    x = 908.30

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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.