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Finding the Fourth Proportional to 1,208.74, 1,668 and 684.64

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Solution

The fourth proportional to 1,208.74, 1,668 and 684.64 is: 944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.74 : 1,668 = 684.64 : x
  2. Step 2: Convert to fraction form
    1,208.74/1,668 = 684.64/x
  3. Step 3: Cross multiply
    1,208.74x = 1,668 × 684.64
  4. Step 4: Simplify right side
    1,208.74x = 1,141,979.52
  5. Step 5: Solve for x
    x = 1,141,979.52/1,208.74
  6. Step 6: Final answer
    x = 944.77

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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.