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Finding the Fourth Proportional to 1,273.63, 1,910.44 and 504.13

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Solution

The fourth proportional to 1,273.63, 1,910.44 and 504.13 is: 756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.63 : 1,910.44 = 504.13 : x
  2. Step 2: Convert to fraction form
    1,273.63/1,910.44 = 504.13/x
  3. Step 3: Cross multiply
    1,273.63x = 1,910.44 × 504.13
  4. Step 4: Simplify right side
    1,273.63x = 963,100.57
  5. Step 5: Solve for x
    x = 963,100.57/1,273.63
  6. Step 6: Final answer
    x = 756.19

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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.