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Finding the Fourth Proportional to 1,080.22, 1,620.74 and 431.41

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Solution

The fourth proportional to 1,080.22, 1,620.74 and 431.41 is: 647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.22 : 1,620.74 = 431.41 : x
  2. Step 2: Convert to fraction form
    1,080.22/1,620.74 = 431.41/x
  3. Step 3: Cross multiply
    1,080.22x = 1,620.74 × 431.41
  4. Step 4: Simplify right side
    1,080.22x = 699,203.44
  5. Step 5: Solve for x
    x = 699,203.44/1,080.22
  6. Step 6: Final answer
    x = 647.28

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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.