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Finding the Fourth Proportional to 769.60, 1,147.92 and 715.84

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Solution

The fourth proportional to 769.60, 1,147.92 and 715.84 is: 1,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.60 : 1,147.92 = 715.84 : x
  2. Step 2: Convert to fraction form
    769.60/1,147.92 = 715.84/x
  3. Step 3: Cross multiply
    769.60x = 1,147.92 × 715.84
  4. Step 4: Simplify right side
    769.60x = 821,727.05
  5. Step 5: Solve for x
    x = 821,727.05/769.60
  6. Step 6: Final answer
    x = 1,067.73

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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.