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Finding the Fourth Proportional to 906.90, 1,360.24 and 419.82

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Solution

The fourth proportional to 906.90, 1,360.24 and 419.82 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.90 : 1,360.24 = 419.82 : x
  2. Step 2: Convert to fraction form
    906.90/1,360.24 = 419.82/x
  3. Step 3: Cross multiply
    906.90x = 1,360.24 × 419.82
  4. Step 4: Simplify right side
    906.90x = 571,055.96
  5. Step 5: Solve for x
    x = 571,055.96/906.90
  6. Step 6: Final answer
    x = 629.68

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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.