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Finding the Fourth Proportional to 782.27, 1,079.76 and 450.91

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Solution

The fourth proportional to 782.27, 1,079.76 and 450.91 is: 622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.27 : 1,079.76 = 450.91 : x
  2. Step 2: Convert to fraction form
    782.27/1,079.76 = 450.91/x
  3. Step 3: Cross multiply
    782.27x = 1,079.76 × 450.91
  4. Step 4: Simplify right side
    782.27x = 486,874.58
  5. Step 5: Solve for x
    x = 486,874.58/782.27
  6. Step 6: Final answer
    x = 622.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.