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Finding the Fourth Proportional to 923.54, 1,274.91 and 797

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Solution

The fourth proportional to 923.54, 1,274.91 and 797 is: 1,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.54 : 1,274.91 = 797 : x
  2. Step 2: Convert to fraction form
    923.54/1,274.91 = 797/x
  3. Step 3: Cross multiply
    923.54x = 1,274.91 × 797
  4. Step 4: Simplify right side
    923.54x = 1,016,103.27
  5. Step 5: Solve for x
    x = 1,016,103.27/923.54
  6. Step 6: Final answer
    x = 1,100.23

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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.