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Finding the Fourth Proportional to 1,645.06, 2,467.53 and 412.42

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Solution

The fourth proportional to 1,645.06, 2,467.53 and 412.42 is: 618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.06 : 2,467.53 = 412.42 : x
  2. Step 2: Convert to fraction form
    1,645.06/2,467.53 = 412.42/x
  3. Step 3: Cross multiply
    1,645.06x = 2,467.53 × 412.42
  4. Step 4: Simplify right side
    1,645.06x = 1,017,658.72
  5. Step 5: Solve for x
    x = 1,017,658.72/1,645.06
  6. Step 6: Final answer
    x = 618.61

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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.