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Finding the Fourth Proportional to 796.83, 1,099.68 and 482.16

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Solution

The fourth proportional to 796.83, 1,099.68 and 482.16 is: 665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.83 : 1,099.68 = 482.16 : x
  2. Step 2: Convert to fraction form
    796.83/1,099.68 = 482.16/x
  3. Step 3: Cross multiply
    796.83x = 1,099.68 × 482.16
  4. Step 4: Simplify right side
    796.83x = 530,221.71
  5. Step 5: Solve for x
    x = 530,221.71/796.83
  6. Step 6: Final answer
    x = 665.41

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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.