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Finding the Fourth Proportional to 826.91, 1,240.38 and 306.71

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Solution

The fourth proportional to 826.91, 1,240.38 and 306.71 is: 460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.91 : 1,240.38 = 306.71 : x
  2. Step 2: Convert to fraction form
    826.91/1,240.38 = 306.71/x
  3. Step 3: Cross multiply
    826.91x = 1,240.38 × 306.71
  4. Step 4: Simplify right side
    826.91x = 380,438.12
  5. Step 5: Solve for x
    x = 380,438.12/826.91
  6. Step 6: Final answer
    x = 460.07

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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.