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Finding the Fourth Proportional to 782.10, 1,079.22 and 467.28

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Solution

The fourth proportional to 782.10, 1,079.22 and 467.28 is: 644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.10 : 1,079.22 = 467.28 : x
  2. Step 2: Convert to fraction form
    782.10/1,079.22 = 467.28/x
  3. Step 3: Cross multiply
    782.10x = 1,079.22 × 467.28
  4. Step 4: Simplify right side
    782.10x = 504,297.92
  5. Step 5: Solve for x
    x = 504,297.92/782.10
  6. Step 6: Final answer
    x = 644.80

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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.