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Finding the Fourth Proportional to 1,137.05, 1,575.46 and 1,112.44

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Solution

The fourth proportional to 1,137.05, 1,575.46 and 1,112.44 is: 1,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.05 : 1,575.46 = 1,112.44 : x
  2. Step 2: Convert to fraction form
    1,137.05/1,575.46 = 1,112.44/x
  3. Step 3: Cross multiply
    1,137.05x = 1,575.46 × 1,112.44
  4. Step 4: Simplify right side
    1,137.05x = 1,752,604.49
  5. Step 5: Solve for x
    x = 1,752,604.49/1,137.05
  6. Step 6: Final answer
    x = 1,541.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.