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Finding the Fourth Proportional to 826.29, 1,139.90 and 494.69

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Solution

The fourth proportional to 826.29, 1,139.90 and 494.69 is: 682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.29 : 1,139.90 = 494.69 : x
  2. Step 2: Convert to fraction form
    826.29/1,139.90 = 494.69/x
  3. Step 3: Cross multiply
    826.29x = 1,139.90 × 494.69
  4. Step 4: Simplify right side
    826.29x = 563,888.96
  5. Step 5: Solve for x
    x = 563,888.96/826.29
  6. Step 6: Final answer
    x = 682.43

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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.