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Finding the Fourth Proportional to 796.35, 1,192.81 and 430.37

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Solution

The fourth proportional to 796.35, 1,192.81 and 430.37 is: 644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.35 : 1,192.81 = 430.37 : x
  2. Step 2: Convert to fraction form
    796.35/1,192.81 = 430.37/x
  3. Step 3: Cross multiply
    796.35x = 1,192.81 × 430.37
  4. Step 4: Simplify right side
    796.35x = 513,349.64
  5. Step 5: Solve for x
    x = 513,349.64/796.35
  6. Step 6: Final answer
    x = 644.63

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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.