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Finding the Fourth Proportional to 806.29, 1,113.73 and 622.06

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Solution

The fourth proportional to 806.29, 1,113.73 and 622.06 is: 859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.29 : 1,113.73 = 622.06 : x
  2. Step 2: Convert to fraction form
    806.29/1,113.73 = 622.06/x
  3. Step 3: Cross multiply
    806.29x = 1,113.73 × 622.06
  4. Step 4: Simplify right side
    806.29x = 692,802.54
  5. Step 5: Solve for x
    x = 692,802.54/806.29
  6. Step 6: Final answer
    x = 859.25

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