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Finding the Fourth Proportional to 1,283.46, 1,923.39 and 633.54

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Solution

The fourth proportional to 1,283.46, 1,923.39 and 633.54 is: 949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.46 : 1,923.39 = 633.54 : x
  2. Step 2: Convert to fraction form
    1,283.46/1,923.39 = 633.54/x
  3. Step 3: Cross multiply
    1,283.46x = 1,923.39 × 633.54
  4. Step 4: Simplify right side
    1,283.46x = 1,218,544.50
  5. Step 5: Solve for x
    x = 1,218,544.50/1,283.46
  6. Step 6: Final answer
    x = 949.42

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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.