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Finding the Fourth Proportional to 796.08, 1,192.89 and 487.47

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Solution

The fourth proportional to 796.08, 1,192.89 and 487.47 is: 730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.08 : 1,192.89 = 487.47 : x
  2. Step 2: Convert to fraction form
    796.08/1,192.89 = 487.47/x
  3. Step 3: Cross multiply
    796.08x = 1,192.89 × 487.47
  4. Step 4: Simplify right side
    796.08x = 581,498.09
  5. Step 5: Solve for x
    x = 581,498.09/796.08
  6. Step 6: Final answer
    x = 730.45

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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.