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Finding the Fourth Proportional to 826.83, 1,240.34 and 306.98

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Solution

The fourth proportional to 826.83, 1,240.34 and 306.98 is: 460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.83 : 1,240.34 = 306.98 : x
  2. Step 2: Convert to fraction form
    826.83/1,240.34 = 306.98/x
  3. Step 3: Cross multiply
    826.83x = 1,240.34 × 306.98
  4. Step 4: Simplify right side
    826.83x = 380,751.84
  5. Step 5: Solve for x
    x = 380,751.84/826.83
  6. Step 6: Final answer
    x = 460.50

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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.