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Finding the Fourth Proportional to 796, 1,194.08 and 283.20

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Solution

The fourth proportional to 796, 1,194.08 and 283.20 is: 424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    796 : 1,194.08 = 283.20 : x
  2. Step 2: Convert to fraction form
    796/1,194.08 = 283.20/x
  3. Step 3: Cross multiply
    796x = 1,194.08 × 283.20
  4. Step 4: Simplify right side
    796x = 338,163.46
  5. Step 5: Solve for x
    x = 338,163.46/796
  6. Step 6: Final answer
    x = 424.83

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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.