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Finding the Fourth Proportional to 826.46, 1,140.40 and 494.82

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Solution

The fourth proportional to 826.46, 1,140.40 and 494.82 is: 682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.46 : 1,140.40 = 494.82 : x
  2. Step 2: Convert to fraction form
    826.46/1,140.40 = 494.82/x
  3. Step 3: Cross multiply
    826.46x = 1,140.40 × 494.82
  4. Step 4: Simplify right side
    826.46x = 564,292.73
  5. Step 5: Solve for x
    x = 564,292.73/826.46
  6. Step 6: Final answer
    x = 682.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.