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Finding the Fourth Proportional to 796.02, 1,192.38 and 471.21

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Solution

The fourth proportional to 796.02, 1,192.38 and 471.21 is: 705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.02 : 1,192.38 = 471.21 : x
  2. Step 2: Convert to fraction form
    796.02/1,192.38 = 471.21/x
  3. Step 3: Cross multiply
    796.02x = 1,192.38 × 471.21
  4. Step 4: Simplify right side
    796.02x = 561,861.38
  5. Step 5: Solve for x
    x = 561,861.38/796.02
  6. Step 6: Final answer
    x = 705.84

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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.