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Finding the Fourth Proportional to 1,190.68, 1,634.23 and 1,079.98

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Solution

The fourth proportional to 1,190.68, 1,634.23 and 1,079.98 is: 1,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.68 : 1,634.23 = 1,079.98 : x
  2. Step 2: Convert to fraction form
    1,190.68/1,634.23 = 1,079.98/x
  3. Step 3: Cross multiply
    1,190.68x = 1,634.23 × 1,079.98
  4. Step 4: Simplify right side
    1,190.68x = 1,764,930.32
  5. Step 5: Solve for x
    x = 1,764,930.32/1,190.68
  6. Step 6: Final answer
    x = 1,482.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.