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Finding the Fourth Proportional to 1,336.82, 2,005.49 and 412.34

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Solution

The fourth proportional to 1,336.82, 2,005.49 and 412.34 is: 618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.82 : 2,005.49 = 412.34 : x
  2. Step 2: Convert to fraction form
    1,336.82/2,005.49 = 412.34/x
  3. Step 3: Cross multiply
    1,336.82x = 2,005.49 × 412.34
  4. Step 4: Simplify right side
    1,336.82x = 826,934.75
  5. Step 5: Solve for x
    x = 826,934.75/1,336.82
  6. Step 6: Final answer
    x = 618.59

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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.