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Finding the Fourth Proportional to 826.75, 1,139.75 and 590.63

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Solution

The fourth proportional to 826.75, 1,139.75 and 590.63 is: 814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.75 : 1,139.75 = 590.63 : x
  2. Step 2: Convert to fraction form
    826.75/1,139.75 = 590.63/x
  3. Step 3: Cross multiply
    826.75x = 1,139.75 × 590.63
  4. Step 4: Simplify right side
    826.75x = 673,170.44
  5. Step 5: Solve for x
    x = 673,170.44/826.75
  6. Step 6: Final answer
    x = 814.24

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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.