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Finding the Fourth Proportional to 906.75, 1,360.43 and 386.73

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Solution

The fourth proportional to 906.75, 1,360.43 and 386.73 is: 580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.75 : 1,360.43 = 386.73 : x
  2. Step 2: Convert to fraction form
    906.75/1,360.43 = 386.73/x
  3. Step 3: Cross multiply
    906.75x = 1,360.43 × 386.73
  4. Step 4: Simplify right side
    906.75x = 526,119.09
  5. Step 5: Solve for x
    x = 526,119.09/906.75
  6. Step 6: Final answer
    x = 580.23

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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.