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Finding the Fourth Proportional to 1,410.09, 1,945.93 and 789.09

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Solution

The fourth proportional to 1,410.09, 1,945.93 and 789.09 is: 1,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.09 : 1,945.93 = 789.09 : x
  2. Step 2: Convert to fraction form
    1,410.09/1,945.93 = 789.09/x
  3. Step 3: Cross multiply
    1,410.09x = 1,945.93 × 789.09
  4. Step 4: Simplify right side
    1,410.09x = 1,535,520.71
  5. Step 5: Solve for x
    x = 1,535,520.71/1,410.09
  6. Step 6: Final answer
    x = 1,088.95

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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.