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Finding the Fourth Proportional to 1,270.61, 1,906.73 and 540.19

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Solution

The fourth proportional to 1,270.61, 1,906.73 and 540.19 is: 810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.61 : 1,906.73 = 540.19 : x
  2. Step 2: Convert to fraction form
    1,270.61/1,906.73 = 540.19/x
  3. Step 3: Cross multiply
    1,270.61x = 1,906.73 × 540.19
  4. Step 4: Simplify right side
    1,270.61x = 1,029,990.72
  5. Step 5: Solve for x
    x = 1,029,990.72/1,270.61
  6. Step 6: Final answer
    x = 810.63

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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.