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Finding the Fourth Proportional to 1,202.52, 1,791.44 and 1,158.43

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Solution

The fourth proportional to 1,202.52, 1,791.44 and 1,158.43 is: 1,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.52 : 1,791.44 = 1,158.43 : x
  2. Step 2: Convert to fraction form
    1,202.52/1,791.44 = 1,158.43/x
  3. Step 3: Cross multiply
    1,202.52x = 1,791.44 × 1,158.43
  4. Step 4: Simplify right side
    1,202.52x = 2,075,257.84
  5. Step 5: Solve for x
    x = 2,075,257.84/1,202.52
  6. Step 6: Final answer
    x = 1,725.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.