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Finding the Fourth Proportional to 1,278.70, 1,917.78 and 412.78

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Solution

The fourth proportional to 1,278.70, 1,917.78 and 412.78 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.70 : 1,917.78 = 412.78 : x
  2. Step 2: Convert to fraction form
    1,278.70/1,917.78 = 412.78/x
  3. Step 3: Cross multiply
    1,278.70x = 1,917.78 × 412.78
  4. Step 4: Simplify right side
    1,278.70x = 791,621.23
  5. Step 5: Solve for x
    x = 791,621.23/1,278.70
  6. Step 6: Final answer
    x = 619.08

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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.