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Finding the Fourth Proportional to 1,406.73, 2,107.38 and 788.57

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Solution

The fourth proportional to 1,406.73, 2,107.38 and 788.57 is: 1,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.73 : 2,107.38 = 788.57 : x
  2. Step 2: Convert to fraction form
    1,406.73/2,107.38 = 788.57/x
  3. Step 3: Cross multiply
    1,406.73x = 2,107.38 × 788.57
  4. Step 4: Simplify right side
    1,406.73x = 1,661,806.11
  5. Step 5: Solve for x
    x = 1,661,806.11/1,406.73
  6. Step 6: Final answer
    x = 1,181.33

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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.