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Finding the Fourth Proportional to 1,003.95, 1,505.96 and 273.54

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Solution

The fourth proportional to 1,003.95, 1,505.96 and 273.54 is: 410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.95 : 1,505.96 = 273.54 : x
  2. Step 2: Convert to fraction form
    1,003.95/1,505.96 = 273.54/x
  3. Step 3: Cross multiply
    1,003.95x = 1,505.96 × 273.54
  4. Step 4: Simplify right side
    1,003.95x = 411,940.30
  5. Step 5: Solve for x
    x = 411,940.30/1,003.95
  6. Step 6: Final answer
    x = 410.32

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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.