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Finding the Fourth Proportional to 1,444.58, 1,993.23 and 855.30

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Solution

The fourth proportional to 1,444.58, 1,993.23 and 855.30 is: 1,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.58 : 1,993.23 = 855.30 : x
  2. Step 2: Convert to fraction form
    1,444.58/1,993.23 = 855.30/x
  3. Step 3: Cross multiply
    1,444.58x = 1,993.23 × 855.30
  4. Step 4: Simplify right side
    1,444.58x = 1,704,809.62
  5. Step 5: Solve for x
    x = 1,704,809.62/1,444.58
  6. Step 6: Final answer
    x = 1,180.15

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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.