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Finding the Fourth Proportional to 1,270.73, 1,906.91 and 540.31

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Solution

The fourth proportional to 1,270.73, 1,906.91 and 540.31 is: 810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.73 : 1,906.91 = 540.31 : x
  2. Step 2: Convert to fraction form
    1,270.73/1,906.91 = 540.31/x
  3. Step 3: Cross multiply
    1,270.73x = 1,906.91 × 540.31
  4. Step 4: Simplify right side
    1,270.73x = 1,030,315.07
  5. Step 5: Solve for x
    x = 1,030,315.07/1,270.73
  6. Step 6: Final answer
    x = 810.80

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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.