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Finding the Fourth Proportional to 1,436.97, 1,983.18 and 847.71

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Solution

The fourth proportional to 1,436.97, 1,983.18 and 847.71 is: 1,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.97 : 1,983.18 = 847.71 : x
  2. Step 2: Convert to fraction form
    1,436.97/1,983.18 = 847.71/x
  3. Step 3: Cross multiply
    1,436.97x = 1,983.18 × 847.71
  4. Step 4: Simplify right side
    1,436.97x = 1,681,161.52
  5. Step 5: Solve for x
    x = 1,681,161.52/1,436.97
  6. Step 6: Final answer
    x = 1,169.94

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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.