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Finding the Fourth Proportional to 796, 1,194.24 and 283.12

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Solution

The fourth proportional to 796, 1,194.24 and 283.12 is: 424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    796 : 1,194.24 = 283.12 : x
  2. Step 2: Convert to fraction form
    796/1,194.24 = 283.12/x
  3. Step 3: Cross multiply
    796x = 1,194.24 × 283.12
  4. Step 4: Simplify right side
    796x = 338,113.23
  5. Step 5: Solve for x
    x = 338,113.23/796
  6. Step 6: Final answer
    x = 424.77

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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.