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Finding the Fourth Proportional to 1,205.82, 1,664.34 and 682.14

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Solution

The fourth proportional to 1,205.82, 1,664.34 and 682.14 is: 941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.82 : 1,664.34 = 682.14 : x
  2. Step 2: Convert to fraction form
    1,205.82/1,664.34 = 682.14/x
  3. Step 3: Cross multiply
    1,205.82x = 1,664.34 × 682.14
  4. Step 4: Simplify right side
    1,205.82x = 1,135,312.89
  5. Step 5: Solve for x
    x = 1,135,312.89/1,205.82
  6. Step 6: Final answer
    x = 941.53

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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.