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Finding the Fourth Proportional to 929.81, 1,282.18 and 797.49

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Solution

The fourth proportional to 929.81, 1,282.18 and 797.49 is: 1,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.81 : 1,282.18 = 797.49 : x
  2. Step 2: Convert to fraction form
    929.81/1,282.18 = 797.49/x
  3. Step 3: Cross multiply
    929.81x = 1,282.18 × 797.49
  4. Step 4: Simplify right side
    929.81x = 1,022,525.73
  5. Step 5: Solve for x
    x = 1,022,525.73/929.81
  6. Step 6: Final answer
    x = 1,099.71

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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.