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Finding the Fourth Proportional to 796.34, 1,193.80 and 283.22

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Solution

The fourth proportional to 796.34, 1,193.80 and 283.22 is: 424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.34 : 1,193.80 = 283.22 : x
  2. Step 2: Convert to fraction form
    796.34/1,193.80 = 283.22/x
  3. Step 3: Cross multiply
    796.34x = 1,193.80 × 283.22
  4. Step 4: Simplify right side
    796.34x = 338,112.29
  5. Step 5: Solve for x
    x = 338,112.29/796.34
  6. Step 6: Final answer
    x = 424.58

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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.