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Finding the Fourth Proportional to 923.20, 1,273.68 and 825.28

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Solution

The fourth proportional to 923.20, 1,273.68 and 825.28 is: 1,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.20 : 1,273.68 = 825.28 : x
  2. Step 2: Convert to fraction form
    923.20/1,273.68 = 825.28/x
  3. Step 3: Cross multiply
    923.20x = 1,273.68 × 825.28
  4. Step 4: Simplify right side
    923.20x = 1,051,142.63
  5. Step 5: Solve for x
    x = 1,051,142.63/923.20
  6. Step 6: Final answer
    x = 1,138.59

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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.