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Finding the Fourth Proportional to 826.49, 1,237.45 and 582.88

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Solution

The fourth proportional to 826.49, 1,237.45 and 582.88 is: 872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.49 : 1,237.45 = 582.88 : x
  2. Step 2: Convert to fraction form
    826.49/1,237.45 = 582.88/x
  3. Step 3: Cross multiply
    826.49x = 1,237.45 × 582.88
  4. Step 4: Simplify right side
    826.49x = 721,284.86
  5. Step 5: Solve for x
    x = 721,284.86/826.49
  6. Step 6: Final answer
    x = 872.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.