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Finding the Fourth Proportional to 929.71, 1,283.91 and 796.16

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Solution

The fourth proportional to 929.71, 1,283.91 and 796.16 is: 1,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.71 : 1,283.91 = 796.16 : x
  2. Step 2: Convert to fraction form
    929.71/1,283.91 = 796.16/x
  3. Step 3: Cross multiply
    929.71x = 1,283.91 × 796.16
  4. Step 4: Simplify right side
    929.71x = 1,022,198.01
  5. Step 5: Solve for x
    x = 1,022,198.01/929.71
  6. Step 6: Final answer
    x = 1,099.48

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Why These Related Problems?

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