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Finding the Fourth Proportional to 1,208.30, 1,667.49 and 684.33

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Solution

The fourth proportional to 1,208.30, 1,667.49 and 684.33 is: 944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.30 : 1,667.49 = 684.33 : x
  2. Step 2: Convert to fraction form
    1,208.30/1,667.49 = 684.33/x
  3. Step 3: Cross multiply
    1,208.30x = 1,667.49 × 684.33
  4. Step 4: Simplify right side
    1,208.30x = 1,141,110.87
  5. Step 5: Solve for x
    x = 1,141,110.87/1,208.30
  6. Step 6: Final answer
    x = 944.39

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Half scale
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Double scale
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1.5x scale

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.