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Finding the Fourth Proportional to 1,436.43, 1,982.22 and 877.83

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Solution

The fourth proportional to 1,436.43, 1,982.22 and 877.83 is: 1,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.43 : 1,982.22 = 877.83 : x
  2. Step 2: Convert to fraction form
    1,436.43/1,982.22 = 877.83/x
  3. Step 3: Cross multiply
    1,436.43x = 1,982.22 × 877.83
  4. Step 4: Simplify right side
    1,436.43x = 1,740,048.89
  5. Step 5: Solve for x
    x = 1,740,048.89/1,436.43
  6. Step 6: Final answer
    x = 1,211.37

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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.