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Finding the Fourth Proportional to 1,273.06, 1,909.23 and 407.26

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Solution

The fourth proportional to 1,273.06, 1,909.23 and 407.26 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.06 : 1,909.23 = 407.26 : x
  2. Step 2: Convert to fraction form
    1,273.06/1,909.23 = 407.26/x
  3. Step 3: Cross multiply
    1,273.06x = 1,909.23 × 407.26
  4. Step 4: Simplify right side
    1,273.06x = 777,553.01
  5. Step 5: Solve for x
    x = 777,553.01/1,273.06
  6. Step 6: Final answer
    x = 610.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.