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Finding the Fourth Proportional to 796.68, 1,185.64 and 794.24

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Solution

The fourth proportional to 796.68, 1,185.64 and 794.24 is: 1,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.68 : 1,185.64 = 794.24 : x
  2. Step 2: Convert to fraction form
    796.68/1,185.64 = 794.24/x
  3. Step 3: Cross multiply
    796.68x = 1,185.64 × 794.24
  4. Step 4: Simplify right side
    796.68x = 941,682.71
  5. Step 5: Solve for x
    x = 941,682.71/796.68
  6. Step 6: Final answer
    x = 1,182.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.