Home / 1,278.06-1,916.64-412.14

Finding the Fourth Proportional to 1,278.06, 1,916.64 and 412.14

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Solution

The fourth proportional to 1,278.06, 1,916.64 and 412.14 is: 618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.06 : 1,916.64 = 412.14 : x
  2. Step 2: Convert to fraction form
    1,278.06/1,916.64 = 412.14/x
  3. Step 3: Cross multiply
    1,278.06x = 1,916.64 × 412.14
  4. Step 4: Simplify right side
    1,278.06x = 789,924.01
  5. Step 5: Solve for x
    x = 789,924.01/1,278.06
  6. Step 6: Final answer
    x = 618.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.