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Finding the Fourth Proportional to 1,272.78, 1,908.56 and 541.96

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Solution

The fourth proportional to 1,272.78, 1,908.56 and 541.96 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.78 : 1,908.56 = 541.96 : x
  2. Step 2: Convert to fraction form
    1,272.78/1,908.56 = 541.96/x
  3. Step 3: Cross multiply
    1,272.78x = 1,908.56 × 541.96
  4. Step 4: Simplify right side
    1,272.78x = 1,034,359.76
  5. Step 5: Solve for x
    x = 1,034,359.76/1,272.78
  6. Step 6: Final answer
    x = 812.68

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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.