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Finding the Fourth Proportional to 1,278.54, 1,917.81 and 412.92

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Solution

The fourth proportional to 1,278.54, 1,917.81 and 412.92 is: 619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.54 : 1,917.81 = 412.92 : x
  2. Step 2: Convert to fraction form
    1,278.54/1,917.81 = 412.92/x
  3. Step 3: Cross multiply
    1,278.54x = 1,917.81 × 412.92
  4. Step 4: Simplify right side
    1,278.54x = 791,902.11
  5. Step 5: Solve for x
    x = 791,902.11/1,278.54
  6. Step 6: Final answer
    x = 619.38

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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.