Home / 1,144-1,579.26-1,102.96

Finding the Fourth Proportional to 1,144, 1,579.26 and 1,102.96

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Solution

The fourth proportional to 1,144, 1,579.26 and 1,102.96 is: 1,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144 : 1,579.26 = 1,102.96 : x
  2. Step 2: Convert to fraction form
    1,144/1,579.26 = 1,102.96/x
  3. Step 3: Cross multiply
    1,144x = 1,579.26 × 1,102.96
  4. Step 4: Simplify right side
    1,144x = 1,741,860.61
  5. Step 5: Solve for x
    x = 1,741,860.61/1,144
  6. Step 6: Final answer
    x = 1,522.61

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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.