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Finding the Fourth Proportional to 796.02, 1,193.12 and 275.52

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Solution

The fourth proportional to 796.02, 1,193.12 and 275.52 is: 412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.02 : 1,193.12 = 275.52 : x
  2. Step 2: Convert to fraction form
    796.02/1,193.12 = 275.52/x
  3. Step 3: Cross multiply
    796.02x = 1,193.12 × 275.52
  4. Step 4: Simplify right side
    796.02x = 328,728.42
  5. Step 5: Solve for x
    x = 328,728.42/796.02
  6. Step 6: Final answer
    x = 412.97

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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.