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Finding the Fourth Proportional to 1,163.12, 1,603.24 and 882.44

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Solution

The fourth proportional to 1,163.12, 1,603.24 and 882.44 is: 1,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.12 : 1,603.24 = 882.44 : x
  2. Step 2: Convert to fraction form
    1,163.12/1,603.24 = 882.44/x
  3. Step 3: Cross multiply
    1,163.12x = 1,603.24 × 882.44
  4. Step 4: Simplify right side
    1,163.12x = 1,414,763.11
  5. Step 5: Solve for x
    x = 1,414,763.11/1,163.12
  6. Step 6: Final answer
    x = 1,216.35

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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.