Home / 1,204.06-1,660.47-1,027.09

Finding the Fourth Proportional to 1,204.06, 1,660.47 and 1,027.09

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Solution

The fourth proportional to 1,204.06, 1,660.47 and 1,027.09 is: 1,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.06 : 1,660.47 = 1,027.09 : x
  2. Step 2: Convert to fraction form
    1,204.06/1,660.47 = 1,027.09/x
  3. Step 3: Cross multiply
    1,204.06x = 1,660.47 × 1,027.09
  4. Step 4: Simplify right side
    1,204.06x = 1,705,452.13
  5. Step 5: Solve for x
    x = 1,705,452.13/1,204.06
  6. Step 6: Final answer
    x = 1,416.42

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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.