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Finding the Fourth Proportional to 1,323.09, 1,982.67 and 906.09

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Solution

The fourth proportional to 1,323.09, 1,982.67 and 906.09 is: 1,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.09 : 1,982.67 = 906.09 : x
  2. Step 2: Convert to fraction form
    1,323.09/1,982.67 = 906.09/x
  3. Step 3: Cross multiply
    1,323.09x = 1,982.67 × 906.09
  4. Step 4: Simplify right side
    1,323.09x = 1,796,477.46
  5. Step 5: Solve for x
    x = 1,796,477.46/1,323.09
  6. Step 6: Final answer
    x = 1,357.79

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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.