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Finding the Fourth Proportional to 923.73, 1,378.44 and 825.18

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Solution

The fourth proportional to 923.73, 1,378.44 and 825.18 is: 1,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.73 : 1,378.44 = 825.18 : x
  2. Step 2: Convert to fraction form
    923.73/1,378.44 = 825.18/x
  3. Step 3: Cross multiply
    923.73x = 1,378.44 × 825.18
  4. Step 4: Simplify right side
    923.73x = 1,137,461.12
  5. Step 5: Solve for x
    x = 1,137,461.12/923.73
  6. Step 6: Final answer
    x = 1,231.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.