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Finding the Fourth Proportional to 1,112.27, 1,536.84 and 1,072.85

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Solution

The fourth proportional to 1,112.27, 1,536.84 and 1,072.85 is: 1,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.27 : 1,536.84 = 1,072.85 : x
  2. Step 2: Convert to fraction form
    1,112.27/1,536.84 = 1,072.85/x
  3. Step 3: Cross multiply
    1,112.27x = 1,536.84 × 1,072.85
  4. Step 4: Simplify right side
    1,112.27x = 1,648,791.11
  5. Step 5: Solve for x
    x = 1,648,791.11/1,112.27
  6. Step 6: Final answer
    x = 1,482.37

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