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Finding the Fourth Proportional to 1,206.19, 1,664.26 and 682.21

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Solution

The fourth proportional to 1,206.19, 1,664.26 and 682.21 is: 941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.19 : 1,664.26 = 682.21 : x
  2. Step 2: Convert to fraction form
    1,206.19/1,664.26 = 682.21/x
  3. Step 3: Cross multiply
    1,206.19x = 1,664.26 × 682.21
  4. Step 4: Simplify right side
    1,206.19x = 1,135,374.81
  5. Step 5: Solve for x
    x = 1,135,374.81/1,206.19
  6. Step 6: Final answer
    x = 941.29

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Half 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.