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Finding the Fourth Proportional to 826.26, 1,239.58 and 313.26

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Solution

The fourth proportional to 826.26, 1,239.58 and 313.26 is: 469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.26 : 1,239.58 = 313.26 : x
  2. Step 2: Convert to fraction form
    826.26/1,239.58 = 313.26/x
  3. Step 3: Cross multiply
    826.26x = 1,239.58 × 313.26
  4. Step 4: Simplify right side
    826.26x = 388,310.83
  5. Step 5: Solve for x
    x = 388,310.83/826.26
  6. Step 6: Final answer
    x = 469.96

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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.