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Finding the Fourth Proportional to 1,469.91, 2,204.91 and 580.41

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Solution

The fourth proportional to 1,469.91, 2,204.91 and 580.41 is: 870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.91 : 2,204.91 = 580.41 : x
  2. Step 2: Convert to fraction form
    1,469.91/2,204.91 = 580.41/x
  3. Step 3: Cross multiply
    1,469.91x = 2,204.91 × 580.41
  4. Step 4: Simplify right side
    1,469.91x = 1,279,751.81
  5. Step 5: Solve for x
    x = 1,279,751.81/1,469.91
  6. Step 6: Final answer
    x = 870.63

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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.