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Finding the Fourth Proportional to 1,105.28, 1,524.94 and 755.36

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Solution

The fourth proportional to 1,105.28, 1,524.94 and 755.36 is: 1,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.28 : 1,524.94 = 755.36 : x
  2. Step 2: Convert to fraction form
    1,105.28/1,524.94 = 755.36/x
  3. Step 3: Cross multiply
    1,105.28x = 1,524.94 × 755.36
  4. Step 4: Simplify right side
    1,105.28x = 1,151,878.68
  5. Step 5: Solve for x
    x = 1,151,878.68/1,105.28
  6. Step 6: Final answer
    x = 1,042.16

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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.