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Finding the Fourth Proportional to 923.90, 1,384.14 and 822.26

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Solution

The fourth proportional to 923.90, 1,384.14 and 822.26 is: 1,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.90 : 1,384.14 = 822.26 : x
  2. Step 2: Convert to fraction form
    923.90/1,384.14 = 822.26/x
  3. Step 3: Cross multiply
    923.90x = 1,384.14 × 822.26
  4. Step 4: Simplify right side
    923.90x = 1,138,122.96
  5. Step 5: Solve for x
    x = 1,138,122.96/923.90
  6. Step 6: Final answer
    x = 1,231.87

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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.