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Finding the Fourth Proportional to 796.16, 1,193.92 and 283.20

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Solution

The fourth proportional to 796.16, 1,193.92 and 283.20 is: 424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.16 : 1,193.92 = 283.20 : x
  2. Step 2: Convert to fraction form
    796.16/1,193.92 = 283.20/x
  3. Step 3: Cross multiply
    796.16x = 1,193.92 × 283.20
  4. Step 4: Simplify right side
    796.16x = 338,118.14
  5. Step 5: Solve for x
    x = 338,118.14/796.16
  6. Step 6: Final answer
    x = 424.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.