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Finding the Fourth Proportional to 923.08, 1,385.26 and 794.56

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Solution

The fourth proportional to 923.08, 1,385.26 and 794.56 is: 1,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,385.26 = 794.56 : x
  2. Step 2: Convert to fraction form
    923.08/1,385.26 = 794.56/x
  3. Step 3: Cross multiply
    923.08x = 1,385.26 × 794.56
  4. Step 4: Simplify right side
    923.08x = 1,100,672.19
  5. Step 5: Solve for x
    x = 1,100,672.19/923.08
  6. Step 6: Final answer
    x = 1,192.39

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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.