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Finding the Fourth Proportional to 1,292.85, 1,940.49 and 923.03

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Solution

The fourth proportional to 1,292.85, 1,940.49 and 923.03 is: 1,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.85 : 1,940.49 = 923.03 : x
  2. Step 2: Convert to fraction form
    1,292.85/1,940.49 = 923.03/x
  3. Step 3: Cross multiply
    1,292.85x = 1,940.49 × 923.03
  4. Step 4: Simplify right side
    1,292.85x = 1,791,123.33
  5. Step 5: Solve for x
    x = 1,791,123.33/1,292.85
  6. Step 6: Final answer
    x = 1,385.41

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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.