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Finding the Fourth Proportional to 1,206.06, 1,664.36 and 682.10

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Solution

The fourth proportional to 1,206.06, 1,664.36 and 682.10 is: 941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.06 : 1,664.36 = 682.10 : x
  2. Step 2: Convert to fraction form
    1,206.06/1,664.36 = 682.10/x
  3. Step 3: Cross multiply
    1,206.06x = 1,664.36 × 682.10
  4. Step 4: Simplify right side
    1,206.06x = 1,135,248.22
  5. Step 5: Solve for x
    x = 1,135,248.22/1,206.06
  6. Step 6: Final answer
    x = 941.29

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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.