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Finding the Fourth Proportional to 796.14, 1,187.42 and 782.29

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Solution

The fourth proportional to 796.14, 1,187.42 and 782.29 is: 1,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.14 : 1,187.42 = 782.29 : x
  2. Step 2: Convert to fraction form
    796.14/1,187.42 = 782.29/x
  3. Step 3: Cross multiply
    796.14x = 1,187.42 × 782.29
  4. Step 4: Simplify right side
    796.14x = 928,906.79
  5. Step 5: Solve for x
    x = 928,906.79/796.14
  6. Step 6: Final answer
    x = 1,166.76

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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.