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Finding the Fourth Proportional to 796.93, 1,099.88 and 482.23

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Solution

The fourth proportional to 796.93, 1,099.88 and 482.23 is: 665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.93 : 1,099.88 = 482.23 : x
  2. Step 2: Convert to fraction form
    796.93/1,099.88 = 482.23/x
  3. Step 3: Cross multiply
    796.93x = 1,099.88 × 482.23
  4. Step 4: Simplify right side
    796.93x = 530,395.13
  5. Step 5: Solve for x
    x = 530,395.13/796.93
  6. Step 6: Final answer
    x = 665.55

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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.