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Finding the Fourth Proportional to 769.82, 1,153.98 and 613.26

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Solution

The fourth proportional to 769.82, 1,153.98 and 613.26 is: 919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.82 : 1,153.98 = 613.26 : x
  2. Step 2: Convert to fraction form
    769.82/1,153.98 = 613.26/x
  3. Step 3: Cross multiply
    769.82x = 1,153.98 × 613.26
  4. Step 4: Simplify right side
    769.82x = 707,688.05
  5. Step 5: Solve for x
    x = 707,688.05/769.82
  6. Step 6: Final answer
    x = 919.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.