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Finding the Fourth Proportional to 1,105.98, 1,524.39 and 756.06

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Solution

The fourth proportional to 1,105.98, 1,524.39 and 756.06 is: 1,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.98 : 1,524.39 = 756.06 : x
  2. Step 2: Convert to fraction form
    1,105.98/1,524.39 = 756.06/x
  3. Step 3: Cross multiply
    1,105.98x = 1,524.39 × 756.06
  4. Step 4: Simplify right side
    1,105.98x = 1,152,530.30
  5. Step 5: Solve for x
    x = 1,152,530.30/1,105.98
  6. Step 6: Final answer
    x = 1,042.09

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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.