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Finding the Fourth Proportional to 826.45, 1,240.15 and 306.82

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Solution

The fourth proportional to 826.45, 1,240.15 and 306.82 is: 460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.45 : 1,240.15 = 306.82 : x
  2. Step 2: Convert to fraction form
    826.45/1,240.15 = 306.82/x
  3. Step 3: Cross multiply
    826.45x = 1,240.15 × 306.82
  4. Step 4: Simplify right side
    826.45x = 380,496.62
  5. Step 5: Solve for x
    x = 380,496.62/826.45
  6. Step 6: Final answer
    x = 460.40

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