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Finding the Fourth Proportional to 1,363.77, 1,882.37 and 803.99

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Solution

The fourth proportional to 1,363.77, 1,882.37 and 803.99 is: 1,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.77 : 1,882.37 = 803.99 : x
  2. Step 2: Convert to fraction form
    1,363.77/1,882.37 = 803.99/x
  3. Step 3: Cross multiply
    1,363.77x = 1,882.37 × 803.99
  4. Step 4: Simplify right side
    1,363.77x = 1,513,413.37
  5. Step 5: Solve for x
    x = 1,513,413.37/1,363.77
  6. Step 6: Final answer
    x = 1,109.73

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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.