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Finding the Fourth Proportional to 906.59, 1,359.48 and 419.78

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Solution

The fourth proportional to 906.59, 1,359.48 and 419.78 is: 629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.59 : 1,359.48 = 419.78 : x
  2. Step 2: Convert to fraction form
    906.59/1,359.48 = 419.78/x
  3. Step 3: Cross multiply
    906.59x = 1,359.48 × 419.78
  4. Step 4: Simplify right side
    906.59x = 570,687.49
  5. Step 5: Solve for x
    x = 570,687.49/906.59
  6. Step 6: Final answer
    x = 629.49

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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.