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Finding the Fourth Proportional to 826.67, 1,240.13 and 306.67

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Solution

The fourth proportional to 826.67, 1,240.13 and 306.67 is: 460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.67 : 1,240.13 = 306.67 : x
  2. Step 2: Convert to fraction form
    826.67/1,240.13 = 306.67/x
  3. Step 3: Cross multiply
    826.67x = 1,240.13 × 306.67
  4. Step 4: Simplify right side
    826.67x = 380,308.33
  5. Step 5: Solve for x
    x = 380,308.33/826.67
  6. Step 6: Final answer
    x = 460.05

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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.