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Finding the Fourth Proportional to 1,104.44, 1,524.09 and 607.05

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Solution

The fourth proportional to 1,104.44, 1,524.09 and 607.05 is: 837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.44 : 1,524.09 = 607.05 : x
  2. Step 2: Convert to fraction form
    1,104.44/1,524.09 = 607.05/x
  3. Step 3: Cross multiply
    1,104.44x = 1,524.09 × 607.05
  4. Step 4: Simplify right side
    1,104.44x = 925,203.69
  5. Step 5: Solve for x
    x = 925,203.69/1,104.44
  6. Step 6: Final answer
    x = 837.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.