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Finding the Fourth Proportional to 1,003.56, 1,505.22 and 273.22

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Solution

The fourth proportional to 1,003.56, 1,505.22 and 273.22 is: 409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.56 : 1,505.22 = 273.22 : x
  2. Step 2: Convert to fraction form
    1,003.56/1,505.22 = 273.22/x
  3. Step 3: Cross multiply
    1,003.56x = 1,505.22 × 273.22
  4. Step 4: Simplify right side
    1,003.56x = 411,256.21
  5. Step 5: Solve for x
    x = 411,256.21/1,003.56
  6. Step 6: Final answer
    x = 409.80

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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.