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Finding the Fourth Proportional to 1,442.75, 1,991.79 and 1,158.44

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Solution

The fourth proportional to 1,442.75, 1,991.79 and 1,158.44 is: 1,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.75 : 1,991.79 = 1,158.44 : x
  2. Step 2: Convert to fraction form
    1,442.75/1,991.79 = 1,158.44/x
  3. Step 3: Cross multiply
    1,442.75x = 1,991.79 × 1,158.44
  4. Step 4: Simplify right side
    1,442.75x = 2,307,359.25
  5. Step 5: Solve for x
    x = 2,307,359.25/1,442.75
  6. Step 6: Final answer
    x = 1,599.28

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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.