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Finding the Fourth Proportional to 1,278.36, 1,917.96 and 412.68

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Solution

The fourth proportional to 1,278.36, 1,917.96 and 412.68 is: 619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.36 : 1,917.96 = 412.68 : x
  2. Step 2: Convert to fraction form
    1,278.36/1,917.96 = 412.68/x
  3. Step 3: Cross multiply
    1,278.36x = 1,917.96 × 412.68
  4. Step 4: Simplify right side
    1,278.36x = 791,503.73
  5. Step 5: Solve for x
    x = 791,503.73/1,278.36
  6. Step 6: Final answer
    x = 619.16

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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.