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Finding the Fourth Proportional to 806.22, 1,112.94 and 585.09

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Solution

The fourth proportional to 806.22, 1,112.94 and 585.09 is: 807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.22 : 1,112.94 = 585.09 : x
  2. Step 2: Convert to fraction form
    806.22/1,112.94 = 585.09/x
  3. Step 3: Cross multiply
    806.22x = 1,112.94 × 585.09
  4. Step 4: Simplify right side
    806.22x = 651,170.06
  5. Step 5: Solve for x
    x = 651,170.06/806.22
  6. Step 6: Final answer
    x = 807.68

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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.