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Finding the Fourth Proportional to 1,080.44, 1,620.72 and 647

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Solution

The fourth proportional to 1,080.44, 1,620.72 and 647 is: 970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.44 : 1,620.72 = 647 : x
  2. Step 2: Convert to fraction form
    1,080.44/1,620.72 = 647/x
  3. Step 3: Cross multiply
    1,080.44x = 1,620.72 × 647
  4. Step 4: Simplify right side
    1,080.44x = 1,048,605.84
  5. Step 5: Solve for x
    x = 1,048,605.84/1,080.44
  6. Step 6: Final answer
    x = 970.54

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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.