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Finding the Fourth Proportional to 796.43, 1,099.37 and 697.61

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Solution

The fourth proportional to 796.43, 1,099.37 and 697.61 is: 962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.43 : 1,099.37 = 697.61 : x
  2. Step 2: Convert to fraction form
    796.43/1,099.37 = 697.61/x
  3. Step 3: Cross multiply
    796.43x = 1,099.37 × 697.61
  4. Step 4: Simplify right side
    796.43x = 766,931.51
  5. Step 5: Solve for x
    x = 766,931.51/796.43
  6. Step 6: Final answer
    x = 962.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.