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Finding the Fourth Proportional to 1,080.35, 1,620.72 and 431.09

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Solution

The fourth proportional to 1,080.35, 1,620.72 and 431.09 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.35 : 1,620.72 = 431.09 : x
  2. Step 2: Convert to fraction form
    1,080.35/1,620.72 = 431.09/x
  3. Step 3: Cross multiply
    1,080.35x = 1,620.72 × 431.09
  4. Step 4: Simplify right side
    1,080.35x = 698,668.08
  5. Step 5: Solve for x
    x = 698,668.08/1,080.35
  6. Step 6: Final answer
    x = 646.71

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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.