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Finding the Fourth Proportional to 1,444.34, 1,993.23 and 884.80

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Solution

The fourth proportional to 1,444.34, 1,993.23 and 884.80 is: 1,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.34 : 1,993.23 = 884.80 : x
  2. Step 2: Convert to fraction form
    1,444.34/1,993.23 = 884.80/x
  3. Step 3: Cross multiply
    1,444.34x = 1,993.23 × 884.80
  4. Step 4: Simplify right side
    1,444.34x = 1,763,609.90
  5. Step 5: Solve for x
    x = 1,763,609.90/1,444.34
  6. Step 6: Final answer
    x = 1,221.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.