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Finding the Fourth Proportional to 826.11, 1,239.75 and 332.23

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Solution

The fourth proportional to 826.11, 1,239.75 and 332.23 is: 498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.11 : 1,239.75 = 332.23 : x
  2. Step 2: Convert to fraction form
    826.11/1,239.75 = 332.23/x
  3. Step 3: Cross multiply
    826.11x = 1,239.75 × 332.23
  4. Step 4: Simplify right side
    826.11x = 411,882.14
  5. Step 5: Solve for x
    x = 411,882.14/826.11
  6. Step 6: Final answer
    x = 498.58

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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.