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Finding the Fourth Proportional to 1,080.72, 1,617.73 and 873.56

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Solution

The fourth proportional to 1,080.72, 1,617.73 and 873.56 is: 1,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.72 : 1,617.73 = 873.56 : x
  2. Step 2: Convert to fraction form
    1,080.72/1,617.73 = 873.56/x
  3. Step 3: Cross multiply
    1,080.72x = 1,617.73 × 873.56
  4. Step 4: Simplify right side
    1,080.72x = 1,413,184.22
  5. Step 5: Solve for x
    x = 1,413,184.22/1,080.72
  6. Step 6: Final answer
    x = 1,307.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.