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Finding the Fourth Proportional to 1,163.00, 1,743.94 and 546.18

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Solution

The fourth proportional to 1,163.00, 1,743.94 and 546.18 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.00 : 1,743.94 = 546.18 : x
  2. Step 2: Convert to fraction form
    1,163.00/1,743.94 = 546.18/x
  3. Step 3: Cross multiply
    1,163.00x = 1,743.94 × 546.18
  4. Step 4: Simplify right side
    1,163.00x = 952,502.42
  5. Step 5: Solve for x
    x = 952,502.42/1,163.00
  6. Step 6: Final answer
    x = 819.01

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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.