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Finding the Fourth Proportional to 923.23, 1,382.09 and 922.01

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Solution

The fourth proportional to 923.23, 1,382.09 and 922.01 is: 1,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.23 : 1,382.09 = 922.01 : x
  2. Step 2: Convert to fraction form
    923.23/1,382.09 = 922.01/x
  3. Step 3: Cross multiply
    923.23x = 1,382.09 × 922.01
  4. Step 4: Simplify right side
    923.23x = 1,274,300.80
  5. Step 5: Solve for x
    x = 1,274,300.80/923.23
  6. Step 6: Final answer
    x = 1,380.27

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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.