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Finding the Fourth Proportional to 1,270.72, 1,905.60 and 540.64

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Solution

The fourth proportional to 1,270.72, 1,905.60 and 540.64 is: 810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.72 : 1,905.60 = 540.64 : x
  2. Step 2: Convert to fraction form
    1,270.72/1,905.60 = 540.64/x
  3. Step 3: Cross multiply
    1,270.72x = 1,905.60 × 540.64
  4. Step 4: Simplify right side
    1,270.72x = 1,030,243.58
  5. Step 5: Solve for x
    x = 1,030,243.58/1,270.72
  6. Step 6: Final answer
    x = 810.76

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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.