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Finding the Fourth Proportional to 1,003.67, 1,505.32 and 273.15

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Solution

The fourth proportional to 1,003.67, 1,505.32 and 273.15 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.67 : 1,505.32 = 273.15 : x
  2. Step 2: Convert to fraction form
    1,003.67/1,505.32 = 273.15/x
  3. Step 3: Cross multiply
    1,003.67x = 1,505.32 × 273.15
  4. Step 4: Simplify right side
    1,003.67x = 411,178.16
  5. Step 5: Solve for x
    x = 411,178.16/1,003.67
  6. Step 6: Final answer
    x = 409.67

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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.