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Finding the Fourth Proportional to 1,282.34, 1,922.81 and 664.51

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Solution

The fourth proportional to 1,282.34, 1,922.81 and 664.51 is: 996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.34 : 1,922.81 = 664.51 : x
  2. Step 2: Convert to fraction form
    1,282.34/1,922.81 = 664.51/x
  3. Step 3: Cross multiply
    1,282.34x = 1,922.81 × 664.51
  4. Step 4: Simplify right side
    1,282.34x = 1,277,723.33
  5. Step 5: Solve for x
    x = 1,277,723.33/1,282.34
  6. Step 6: Final answer
    x = 996.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.