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Finding the Fourth Proportional to 680.22, 1,018.62 and 484.92

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Solution

The fourth proportional to 680.22, 1,018.62 and 484.92 is: 726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.22 : 1,018.62 = 484.92 : x
  2. Step 2: Convert to fraction form
    680.22/1,018.62 = 484.92/x
  3. Step 3: Cross multiply
    680.22x = 1,018.62 × 484.92
  4. Step 4: Simplify right side
    680.22x = 493,949.21
  5. Step 5: Solve for x
    x = 493,949.21/680.22
  6. Step 6: Final answer
    x = 726.16

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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.