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Finding the Fourth Proportional to 1,270.55, 1,906.54 and 540.68

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Solution

The fourth proportional to 1,270.55, 1,906.54 and 540.68 is: 811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.55 : 1,906.54 = 540.68 : x
  2. Step 2: Convert to fraction form
    1,270.55/1,906.54 = 540.68/x
  3. Step 3: Cross multiply
    1,270.55x = 1,906.54 × 540.68
  4. Step 4: Simplify right side
    1,270.55x = 1,030,817.16
  5. Step 5: Solve for x
    x = 1,030,817.16/1,270.55
  6. Step 6: Final answer
    x = 811.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.