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Finding the Fourth Proportional to 1,003.62, 1,505.54 and 273.28

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Solution

The fourth proportional to 1,003.62, 1,505.54 and 273.28 is: 409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.62 : 1,505.54 = 273.28 : x
  2. Step 2: Convert to fraction form
    1,003.62/1,505.54 = 273.28/x
  3. Step 3: Cross multiply
    1,003.62x = 1,505.54 × 273.28
  4. Step 4: Simplify right side
    1,003.62x = 411,433.97
  5. Step 5: Solve for x
    x = 411,433.97/1,003.62
  6. Step 6: Final answer
    x = 409.95

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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.