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Finding the Fourth Proportional to 1,105.37, 1,525.42 and 601.22

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Solution

The fourth proportional to 1,105.37, 1,525.42 and 601.22 is: 829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.37 : 1,525.42 = 601.22 : x
  2. Step 2: Convert to fraction form
    1,105.37/1,525.42 = 601.22/x
  3. Step 3: Cross multiply
    1,105.37x = 1,525.42 × 601.22
  4. Step 4: Simplify right side
    1,105.37x = 917,120.44
  5. Step 5: Solve for x
    x = 917,120.44/1,105.37
  6. Step 6: Final answer
    x = 829.69

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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.