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Finding the Fourth Proportional to 1,324, 1,986.08 and 412

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Solution

The fourth proportional to 1,324, 1,986.08 and 412 is: 618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324 : 1,986.08 = 412 : x
  2. Step 2: Convert to fraction form
    1,324/1,986.08 = 412/x
  3. Step 3: Cross multiply
    1,324x = 1,986.08 × 412
  4. Step 4: Simplify right side
    1,324x = 818,264.96
  5. Step 5: Solve for x
    x = 818,264.96/1,324
  6. Step 6: Final answer
    x = 618.02

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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.