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Finding the Fourth Proportional to 1,467.70, 2,201.07 and 543.22

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Solution

The fourth proportional to 1,467.70, 2,201.07 and 543.22 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.70 : 2,201.07 = 543.22 : x
  2. Step 2: Convert to fraction form
    1,467.70/2,201.07 = 543.22/x
  3. Step 3: Cross multiply
    1,467.70x = 2,201.07 × 543.22
  4. Step 4: Simplify right side
    1,467.70x = 1,195,665.25
  5. Step 5: Solve for x
    x = 1,195,665.25/1,467.70
  6. Step 6: Final answer
    x = 814.65

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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.