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Finding the Fourth Proportional to 1,444.70, 2,163.36 and 794.72

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Solution

The fourth proportional to 1,444.70, 2,163.36 and 794.72 is: 1,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.70 : 2,163.36 = 794.72 : x
  2. Step 2: Convert to fraction form
    1,444.70/2,163.36 = 794.72/x
  3. Step 3: Cross multiply
    1,444.70x = 2,163.36 × 794.72
  4. Step 4: Simplify right side
    1,444.70x = 1,719,265.46
  5. Step 5: Solve for x
    x = 1,719,265.46/1,444.70
  6. Step 6: Final answer
    x = 1,190.05

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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.