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Finding the Fourth Proportional to 769.49, 1,061.96 and 437.82

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Solution

The fourth proportional to 769.49, 1,061.96 and 437.82 is: 604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.49 : 1,061.96 = 437.82 : x
  2. Step 2: Convert to fraction form
    769.49/1,061.96 = 437.82/x
  3. Step 3: Cross multiply
    769.49x = 1,061.96 × 437.82
  4. Step 4: Simplify right side
    769.49x = 464,945.14
  5. Step 5: Solve for x
    x = 464,945.14/769.49
  6. Step 6: Final answer
    x = 604.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.