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Finding the Fourth Proportional to 826.37, 1,140.12 and 494.75

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Solution

The fourth proportional to 826.37, 1,140.12 and 494.75 is: 682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.37 : 1,140.12 = 494.75 : x
  2. Step 2: Convert to fraction form
    826.37/1,140.12 = 494.75/x
  3. Step 3: Cross multiply
    826.37x = 1,140.12 × 494.75
  4. Step 4: Simplify right side
    826.37x = 564,074.37
  5. Step 5: Solve for x
    x = 564,074.37/826.37
  6. Step 6: Final answer
    x = 682.59

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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.