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Finding the Fourth Proportional to 1,507.56, 2,080.44 and 844.44

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Solution

The fourth proportional to 1,507.56, 2,080.44 and 844.44 is: 1,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.56 : 2,080.44 = 844.44 : x
  2. Step 2: Convert to fraction form
    1,507.56/2,080.44 = 844.44/x
  3. Step 3: Cross multiply
    1,507.56x = 2,080.44 × 844.44
  4. Step 4: Simplify right side
    1,507.56x = 1,756,806.75
  5. Step 5: Solve for x
    x = 1,756,806.75/1,507.56
  6. Step 6: Final answer
    x = 1,165.33

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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.