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Finding the Fourth Proportional to 1,003.38, 1,504.52 and 309.86

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Solution

The fourth proportional to 1,003.38, 1,504.52 and 309.86 is: 464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.38 : 1,504.52 = 309.86 : x
  2. Step 2: Convert to fraction form
    1,003.38/1,504.52 = 309.86/x
  3. Step 3: Cross multiply
    1,003.38x = 1,504.52 × 309.86
  4. Step 4: Simplify right side
    1,003.38x = 466,194.27
  5. Step 5: Solve for x
    x = 466,194.27/1,003.38
  6. Step 6: Final answer
    x = 464.62

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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.