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Finding the Fourth Proportional to 1,003.84, 1,505.76 and 273.44

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Solution

The fourth proportional to 1,003.84, 1,505.76 and 273.44 is: 410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.84 : 1,505.76 = 273.44 : x
  2. Step 2: Convert to fraction form
    1,003.84/1,505.76 = 273.44/x
  3. Step 3: Cross multiply
    1,003.84x = 1,505.76 × 273.44
  4. Step 4: Simplify right side
    1,003.84x = 411,735.01
  5. Step 5: Solve for x
    x = 411,735.01/1,003.84
  6. Step 6: Final answer
    x = 410.16

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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.