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Finding the Fourth Proportional to 826.81, 1,240.52 and 340.20

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Solution

The fourth proportional to 826.81, 1,240.52 and 340.20 is: 510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.81 : 1,240.52 = 340.20 : x
  2. Step 2: Convert to fraction form
    826.81/1,240.52 = 340.20/x
  3. Step 3: Cross multiply
    826.81x = 1,240.52 × 340.20
  4. Step 4: Simplify right side
    826.81x = 422,023.20
  5. Step 5: Solve for x
    x = 422,023.20/826.81
  6. Step 6: Final answer
    x = 510.42

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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.