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Finding the Fourth Proportional to 826.21, 1,140.06 and 494.57

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Solution

The fourth proportional to 826.21, 1,140.06 and 494.57 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.21 : 1,140.06 = 494.57 : x
  2. Step 2: Convert to fraction form
    826.21/1,140.06 = 494.57/x
  3. Step 3: Cross multiply
    826.21x = 1,140.06 × 494.57
  4. Step 4: Simplify right side
    826.21x = 563,839.47
  5. Step 5: Solve for x
    x = 563,839.47/826.21
  6. Step 6: Final answer
    x = 682.44

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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.