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Finding the Fourth Proportional to 1,209.41, 1,668.92 and 685.34

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Solution

The fourth proportional to 1,209.41, 1,668.92 and 685.34 is: 945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.41 : 1,668.92 = 685.34 : x
  2. Step 2: Convert to fraction form
    1,209.41/1,668.92 = 685.34/x
  3. Step 3: Cross multiply
    1,209.41x = 1,668.92 × 685.34
  4. Step 4: Simplify right side
    1,209.41x = 1,143,769.29
  5. Step 5: Solve for x
    x = 1,143,769.29/1,209.41
  6. Step 6: Final answer
    x = 945.73

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Why These Related Problems?

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