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Finding the Fourth Proportional to 906.97, 1,360.24 and 419.75

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Solution

The fourth proportional to 906.97, 1,360.24 and 419.75 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.97 : 1,360.24 = 419.75 : x
  2. Step 2: Convert to fraction form
    906.97/1,360.24 = 419.75/x
  3. Step 3: Cross multiply
    906.97x = 1,360.24 × 419.75
  4. Step 4: Simplify right side
    906.97x = 570,960.74
  5. Step 5: Solve for x
    x = 570,960.74/906.97
  6. Step 6: Final answer
    x = 629.53

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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.