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Finding the Fourth Proportional to 1,444.69, 1,993.71 and 855.69

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Solution

The fourth proportional to 1,444.69, 1,993.71 and 855.69 is: 1,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.69 : 1,993.71 = 855.69 : x
  2. Step 2: Convert to fraction form
    1,444.69/1,993.71 = 855.69/x
  3. Step 3: Cross multiply
    1,444.69x = 1,993.71 × 855.69
  4. Step 4: Simplify right side
    1,444.69x = 1,705,997.71
  5. Step 5: Solve for x
    x = 1,705,997.71/1,444.69
  6. Step 6: Final answer
    x = 1,180.87

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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.