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Finding the Fourth Proportional to 906.82, 1,360.58 and 419.76

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Solution

The fourth proportional to 906.82, 1,360.58 and 419.76 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.82 : 1,360.58 = 419.76 : x
  2. Step 2: Convert to fraction form
    906.82/1,360.58 = 419.76/x
  3. Step 3: Cross multiply
    906.82x = 1,360.58 × 419.76
  4. Step 4: Simplify right side
    906.82x = 571,117.06
  5. Step 5: Solve for x
    x = 571,117.06/906.82
  6. Step 6: Final answer
    x = 629.80

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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.