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Finding the Fourth Proportional to 1,336.49, 2,004.56 and 412.08

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Solution

The fourth proportional to 1,336.49, 2,004.56 and 412.08 is: 618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.49 : 2,004.56 = 412.08 : x
  2. Step 2: Convert to fraction form
    1,336.49/2,004.56 = 412.08/x
  3. Step 3: Cross multiply
    1,336.49x = 2,004.56 × 412.08
  4. Step 4: Simplify right side
    1,336.49x = 826,033.04
  5. Step 5: Solve for x
    x = 826,033.04/1,336.49
  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.