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Finding the Fourth Proportional to 1,003.13, 1,504.74 and 309.81

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Solution

The fourth proportional to 1,003.13, 1,504.74 and 309.81 is: 464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.13 : 1,504.74 = 309.81 : x
  2. Step 2: Convert to fraction form
    1,003.13/1,504.74 = 309.81/x
  3. Step 3: Cross multiply
    1,003.13x = 1,504.74 × 309.81
  4. Step 4: Simplify right side
    1,003.13x = 466,183.50
  5. Step 5: Solve for x
    x = 466,183.50/1,003.13
  6. Step 6: Final answer
    x = 464.73

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Why These Related Problems?

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