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Finding the Fourth Proportional to 825.73, 1,139.53 and 494.19

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Solution

The fourth proportional to 825.73, 1,139.53 and 494.19 is: 682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.73 : 1,139.53 = 494.19 : x
  2. Step 2: Convert to fraction form
    825.73/1,139.53 = 494.19/x
  3. Step 3: Cross multiply
    825.73x = 1,139.53 × 494.19
  4. Step 4: Simplify right side
    825.73x = 563,144.33
  5. Step 5: Solve for x
    x = 563,144.33/825.73
  6. Step 6: Final answer
    x = 682.00

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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.