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Finding the Fourth Proportional to 806.05, 1,112.48 and 584.92

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Solution

The fourth proportional to 806.05, 1,112.48 and 584.92 is: 807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.05 : 1,112.48 = 584.92 : x
  2. Step 2: Convert to fraction form
    806.05/1,112.48 = 584.92/x
  3. Step 3: Cross multiply
    806.05x = 1,112.48 × 584.92
  4. Step 4: Simplify right side
    806.05x = 650,708.88
  5. Step 5: Solve for x
    x = 650,708.88/806.05
  6. Step 6: Final answer
    x = 807.28

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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.