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Finding the Fourth Proportional to 1,206.09, 1,664.55 and 682.02

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Solution

The fourth proportional to 1,206.09, 1,664.55 and 682.02 is: 941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.09 : 1,664.55 = 682.02 : x
  2. Step 2: Convert to fraction form
    1,206.09/1,664.55 = 682.02/x
  3. Step 3: Cross multiply
    1,206.09x = 1,664.55 × 682.02
  4. Step 4: Simplify right side
    1,206.09x = 1,135,256.39
  5. Step 5: Solve for x
    x = 1,135,256.39/1,206.09
  6. Step 6: Final answer
    x = 941.27

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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.