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Finding the Fourth Proportional to 826.08, 1,139.87 and 494.44

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Solution

The fourth proportional to 826.08, 1,139.87 and 494.44 is: 682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.08 : 1,139.87 = 494.44 : x
  2. Step 2: Convert to fraction form
    826.08/1,139.87 = 494.44/x
  3. Step 3: Cross multiply
    826.08x = 1,139.87 × 494.44
  4. Step 4: Simplify right side
    826.08x = 563,595.71
  5. Step 5: Solve for x
    x = 563,595.71/826.08
  6. Step 6: Final answer
    x = 682.25

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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.