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Finding the Fourth Proportional to 826.86, 1,239.57 and 314.22

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Solution

The fourth proportional to 826.86, 1,239.57 and 314.22 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,239.57 = 314.22 : x
  2. Step 2: Convert to fraction form
    826.86/1,239.57 = 314.22/x
  3. Step 3: Cross multiply
    826.86x = 1,239.57 × 314.22
  4. Step 4: Simplify right side
    826.86x = 389,497.69
  5. Step 5: Solve for x
    x = 389,497.69/826.86
  6. Step 6: Final answer
    x = 471.06

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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.