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Finding the Fourth Proportional to 1,453.00, 2,005.16 and 789.86

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Solution

The fourth proportional to 1,453.00, 2,005.16 and 789.86 is: 1,090.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.00 : 2,005.16 = 789.86 : x
  2. Step 2: Convert to fraction form
    1,453.00/2,005.16 = 789.86/x
  3. Step 3: Cross multiply
    1,453.00x = 2,005.16 × 789.86
  4. Step 4: Simplify right side
    1,453.00x = 1,583,791.73
  5. Step 5: Solve for x
    x = 1,583,791.73/1,453.00
  6. Step 6: Final answer
    x = 1,090.02

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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.