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Finding the Fourth Proportional to 1,324, 1,986 and 412

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Solution

The fourth proportional to 1,324, 1,986 and 412 is: 618

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324 : 1,986 = 412 : x
  2. Step 2: Convert to fraction form
    1,324/1,986 = 412/x
  3. Step 3: Cross multiply
    1,324x = 1,986 × 412
  4. Step 4: Simplify right side
    1,324x = 818,232
  5. Step 5: Solve for x
    x = 818,232/1,324
  6. Step 6: Final answer
    x = 618

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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.