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Finding the Fourth Proportional to 1,004.04, 1,505.94 and 310.73

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Solution

The fourth proportional to 1,004.04, 1,505.94 and 310.73 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.04 : 1,505.94 = 310.73 : x
  2. Step 2: Convert to fraction form
    1,004.04/1,505.94 = 310.73/x
  3. Step 3: Cross multiply
    1,004.04x = 1,505.94 × 310.73
  4. Step 4: Simplify right side
    1,004.04x = 467,933.21
  5. Step 5: Solve for x
    x = 467,933.21/1,004.04
  6. Step 6: Final answer
    x = 466.05

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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.