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Finding the Fourth Proportional to 1,451.27, 2,002.75 and 788.12

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Solution

The fourth proportional to 1,451.27, 2,002.75 and 788.12 is: 1,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.27 : 2,002.75 = 788.12 : x
  2. Step 2: Convert to fraction form
    1,451.27/2,002.75 = 788.12/x
  3. Step 3: Cross multiply
    1,451.27x = 2,002.75 × 788.12
  4. Step 4: Simplify right side
    1,451.27x = 1,578,413.32
  5. Step 5: Solve for x
    x = 1,578,413.32/1,451.27
  6. Step 6: Final answer
    x = 1,087.61

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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.