Home / 1,102.09-1,653.20-280.37

Finding the Fourth Proportional to 1,102.09, 1,653.20 and 280.37

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Solution

The fourth proportional to 1,102.09, 1,653.20 and 280.37 is: 420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.09 : 1,653.20 = 280.37 : x
  2. Step 2: Convert to fraction form
    1,102.09/1,653.20 = 280.37/x
  3. Step 3: Cross multiply
    1,102.09x = 1,653.20 × 280.37
  4. Step 4: Simplify right side
    1,102.09x = 463,507.68
  5. Step 5: Solve for x
    x = 463,507.68/1,102.09
  6. Step 6: Final answer
    x = 420.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.