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Finding the Fourth Proportional to 826.01, 1,139.99 and 494.61

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Solution

The fourth proportional to 826.01, 1,139.99 and 494.61 is: 682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.01 : 1,139.99 = 494.61 : x
  2. Step 2: Convert to fraction form
    826.01/1,139.99 = 494.61/x
  3. Step 3: Cross multiply
    826.01x = 1,139.99 × 494.61
  4. Step 4: Simplify right side
    826.01x = 563,847.98
  5. Step 5: Solve for x
    x = 563,847.98/826.01
  6. Step 6: Final answer
    x = 682.62

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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.