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Finding the Fourth Proportional to 1,208.68, 1,668 and 684.82

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Solution

The fourth proportional to 1,208.68, 1,668 and 684.82 is: 945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.68 : 1,668 = 684.82 : x
  2. Step 2: Convert to fraction form
    1,208.68/1,668 = 684.82/x
  3. Step 3: Cross multiply
    1,208.68x = 1,668 × 684.82
  4. Step 4: Simplify right side
    1,208.68x = 1,142,279.76
  5. Step 5: Solve for x
    x = 1,142,279.76/1,208.68
  6. Step 6: Final answer
    x = 945.06

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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.