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Finding the Fourth Proportional to 1,081.23, 1,491.98 and 609.09

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Solution

The fourth proportional to 1,081.23, 1,491.98 and 609.09 is: 840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.23 : 1,491.98 = 609.09 : x
  2. Step 2: Convert to fraction form
    1,081.23/1,491.98 = 609.09/x
  3. Step 3: Cross multiply
    1,081.23x = 1,491.98 × 609.09
  4. Step 4: Simplify right side
    1,081.23x = 908,747.05
  5. Step 5: Solve for x
    x = 908,747.05/1,081.23
  6. Step 6: Final answer
    x = 840.48

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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.