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Finding the Fourth Proportional to 1,145.00, 1,584.27 and 997.94

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Solution

The fourth proportional to 1,145.00, 1,584.27 and 997.94 is: 1,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.00 : 1,584.27 = 997.94 : x
  2. Step 2: Convert to fraction form
    1,145.00/1,584.27 = 997.94/x
  3. Step 3: Cross multiply
    1,145.00x = 1,584.27 × 997.94
  4. Step 4: Simplify right side
    1,145.00x = 1,581,010.36
  5. Step 5: Solve for x
    x = 1,581,010.36/1,145.00
  6. Step 6: Final answer
    x = 1,380.79

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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.