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Finding the Fourth Proportional to 1,001.54, 1,502.09 and 270.96

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Solution

The fourth proportional to 1,001.54, 1,502.09 and 270.96 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.54 : 1,502.09 = 270.96 : x
  2. Step 2: Convert to fraction form
    1,001.54/1,502.09 = 270.96/x
  3. Step 3: Cross multiply
    1,001.54x = 1,502.09 × 270.96
  4. Step 4: Simplify right side
    1,001.54x = 406,997.44
  5. Step 5: Solve for x
    x = 406,997.44/1,001.54
  6. Step 6: Final answer
    x = 406.37

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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.