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Finding the Fourth Proportional to 1,209.20, 1,668.12 and 743.28

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Solution

The fourth proportional to 1,209.20, 1,668.12 and 743.28 is: 1,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.20 : 1,668.12 = 743.28 : x
  2. Step 2: Convert to fraction form
    1,209.20/1,668.12 = 743.28/x
  3. Step 3: Cross multiply
    1,209.20x = 1,668.12 × 743.28
  4. Step 4: Simplify right side
    1,209.20x = 1,239,880.23
  5. Step 5: Solve for x
    x = 1,239,880.23/1,209.20
  6. Step 6: Final answer
    x = 1,025.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.