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Finding the Fourth Proportional to 1,208, 1,667.04 and 684.02

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Solution

The fourth proportional to 1,208, 1,667.04 and 684.02 is: 943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208 : 1,667.04 = 684.02 : x
  2. Step 2: Convert to fraction form
    1,208/1,667.04 = 684.02/x
  3. Step 3: Cross multiply
    1,208x = 1,667.04 × 684.02
  4. Step 4: Simplify right side
    1,208x = 1,140,288.70
  5. Step 5: Solve for x
    x = 1,140,288.70/1,208
  6. Step 6: Final answer
    x = 943.95

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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.