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Finding the Fourth Proportional to 923.04, 1,274.22 and 796.50

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Solution

The fourth proportional to 923.04, 1,274.22 and 796.50 is: 1,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.04 : 1,274.22 = 796.50 : x
  2. Step 2: Convert to fraction form
    923.04/1,274.22 = 796.50/x
  3. Step 3: Cross multiply
    923.04x = 1,274.22 × 796.50
  4. Step 4: Simplify right side
    923.04x = 1,014,916.23
  5. Step 5: Solve for x
    x = 1,014,916.23/923.04
  6. Step 6: Final answer
    x = 1,099.54

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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.