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Finding the Fourth Proportional to 806.05, 1,112.89 and 619.21

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Solution

The fourth proportional to 806.05, 1,112.89 and 619.21 is: 854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.05 : 1,112.89 = 619.21 : x
  2. Step 2: Convert to fraction form
    806.05/1,112.89 = 619.21/x
  3. Step 3: Cross multiply
    806.05x = 1,112.89 × 619.21
  4. Step 4: Simplify right side
    806.05x = 689,107.05
  5. Step 5: Solve for x
    x = 689,107.05/806.05
  6. Step 6: Final answer
    x = 854.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.