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Finding the Fourth Proportional to 1,194.64, 1,648.02 and 796.48

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Solution

The fourth proportional to 1,194.64, 1,648.02 and 796.48 is: 1,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.64 : 1,648.02 = 796.48 : x
  2. Step 2: Convert to fraction form
    1,194.64/1,648.02 = 796.48/x
  3. Step 3: Cross multiply
    1,194.64x = 1,648.02 × 796.48
  4. Step 4: Simplify right side
    1,194.64x = 1,312,614.97
  5. Step 5: Solve for x
    x = 1,312,614.97/1,194.64
  6. Step 6: Final answer
    x = 1,098.75

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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.