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Finding the Fourth Proportional to 1,344.56, 1,855.50 and 813.46

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Solution

The fourth proportional to 1,344.56, 1,855.50 and 813.46 is: 1,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.56 : 1,855.50 = 813.46 : x
  2. Step 2: Convert to fraction form
    1,344.56/1,855.50 = 813.46/x
  3. Step 3: Cross multiply
    1,344.56x = 1,855.50 × 813.46
  4. Step 4: Simplify right side
    1,344.56x = 1,509,375.03
  5. Step 5: Solve for x
    x = 1,509,375.03/1,344.56
  6. Step 6: Final answer
    x = 1,122.58

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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.