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Finding the Fourth Proportional to 826.27, 1,139.78 and 494.58

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Solution

The fourth proportional to 826.27, 1,139.78 and 494.58 is: 682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.27 : 1,139.78 = 494.58 : x
  2. Step 2: Convert to fraction form
    826.27/1,139.78 = 494.58/x
  3. Step 3: Cross multiply
    826.27x = 1,139.78 × 494.58
  4. Step 4: Simplify right side
    826.27x = 563,712.39
  5. Step 5: Solve for x
    x = 563,712.39/826.27
  6. Step 6: Final answer
    x = 682.24

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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.