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Finding the Fourth Proportional to 923.87, 1,384.61 and 825.80

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Solution

The fourth proportional to 923.87, 1,384.61 and 825.80 is: 1,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.87 : 1,384.61 = 825.80 : x
  2. Step 2: Convert to fraction form
    923.87/1,384.61 = 825.80/x
  3. Step 3: Cross multiply
    923.87x = 1,384.61 × 825.80
  4. Step 4: Simplify right side
    923.87x = 1,143,399.89
  5. Step 5: Solve for x
    x = 1,143,399.89/923.87
  6. Step 6: Final answer
    x = 1,237.62

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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.