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Finding the Fourth Proportional to 1,336.75, 2,005.36 and 412.29

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Solution

The fourth proportional to 1,336.75, 2,005.36 and 412.29 is: 618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.75 : 2,005.36 = 412.29 : x
  2. Step 2: Convert to fraction form
    1,336.75/2,005.36 = 412.29/x
  3. Step 3: Cross multiply
    1,336.75x = 2,005.36 × 412.29
  4. Step 4: Simplify right side
    1,336.75x = 826,789.87
  5. Step 5: Solve for x
    x = 826,789.87/1,336.75
  6. Step 6: Final answer
    x = 618.51

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1.5x scale

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.