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Finding the Fourth Proportional to 1,607.33, 2,412.09 and 827.30

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Solution

The fourth proportional to 1,607.33, 2,412.09 and 827.30 is: 1,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.33 : 2,412.09 = 827.30 : x
  2. Step 2: Convert to fraction form
    1,607.33/2,412.09 = 827.30/x
  3. Step 3: Cross multiply
    1,607.33x = 2,412.09 × 827.30
  4. Step 4: Simplify right side
    1,607.33x = 1,995,528.09
  5. Step 5: Solve for x
    x = 1,995,528.09/1,607.33
  6. Step 6: Final answer
    x = 1,241.52

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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.