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Finding the Fourth Proportional to 1,263.94, 1,893.39 and 1,004.38

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Solution

The fourth proportional to 1,263.94, 1,893.39 and 1,004.38 is: 1,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.94 : 1,893.39 = 1,004.38 : x
  2. Step 2: Convert to fraction form
    1,263.94/1,893.39 = 1,004.38/x
  3. Step 3: Cross multiply
    1,263.94x = 1,893.39 × 1,004.38
  4. Step 4: Simplify right side
    1,263.94x = 1,901,683.05
  5. Step 5: Solve for x
    x = 1,901,683.05/1,263.94
  6. Step 6: Final answer
    x = 1,504.57

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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.