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Finding the Fourth Proportional to 1,370.88, 1,891.40 and 811.44

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Solution

The fourth proportional to 1,370.88, 1,891.40 and 811.44 is: 1,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.88 : 1,891.40 = 811.44 : x
  2. Step 2: Convert to fraction form
    1,370.88/1,891.40 = 811.44/x
  3. Step 3: Cross multiply
    1,370.88x = 1,891.40 × 811.44
  4. Step 4: Simplify right side
    1,370.88x = 1,534,757.62
  5. Step 5: Solve for x
    x = 1,534,757.62/1,370.88
  6. Step 6: Final answer
    x = 1,119.54

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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.