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Finding the Fourth Proportional to 825.97, 1,139.81 and 494.32

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Solution

The fourth proportional to 825.97, 1,139.81 and 494.32 is: 682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.97 : 1,139.81 = 494.32 : x
  2. Step 2: Convert to fraction form
    825.97/1,139.81 = 494.32/x
  3. Step 3: Cross multiply
    825.97x = 1,139.81 × 494.32
  4. Step 4: Simplify right side
    825.97x = 563,430.88
  5. Step 5: Solve for x
    x = 563,430.88/825.97
  6. Step 6: Final answer
    x = 682.14

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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.