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Finding the Fourth Proportional to 1,278.15, 1,917.24 and 412.46

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Solution

The fourth proportional to 1,278.15, 1,917.24 and 412.46 is: 618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.15 : 1,917.24 = 412.46 : x
  2. Step 2: Convert to fraction form
    1,278.15/1,917.24 = 412.46/x
  3. Step 3: Cross multiply
    1,278.15x = 1,917.24 × 412.46
  4. Step 4: Simplify right side
    1,278.15x = 790,782.75
  5. Step 5: Solve for x
    x = 790,782.75/1,278.15
  6. Step 6: Final answer
    x = 618.69

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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.