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Finding the Fourth Proportional to 1,307.44, 1,804.44 and 843.04

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Solution

The fourth proportional to 1,307.44, 1,804.44 and 843.04 is: 1,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.44 : 1,804.44 = 843.04 : x
  2. Step 2: Convert to fraction form
    1,307.44/1,804.44 = 843.04/x
  3. Step 3: Cross multiply
    1,307.44x = 1,804.44 × 843.04
  4. Step 4: Simplify right side
    1,307.44x = 1,521,215.10
  5. Step 5: Solve for x
    x = 1,521,215.10/1,307.44
  6. Step 6: Final answer
    x = 1,163.51

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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.