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Finding the Fourth Proportional to 1,273.01, 1,905.73 and 694.13

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Solution

The fourth proportional to 1,273.01, 1,905.73 and 694.13 is: 1,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.01 : 1,905.73 = 694.13 : x
  2. Step 2: Convert to fraction form
    1,273.01/1,905.73 = 694.13/x
  3. Step 3: Cross multiply
    1,273.01x = 1,905.73 × 694.13
  4. Step 4: Simplify right side
    1,273.01x = 1,322,813.10
  5. Step 5: Solve for x
    x = 1,322,813.10/1,273.01
  6. Step 6: Final answer
    x = 1,039.13

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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.