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Finding the Fourth Proportional to 769.53, 1,061.96 and 438.06

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Solution

The fourth proportional to 769.53, 1,061.96 and 438.06 is: 604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.53 : 1,061.96 = 438.06 : x
  2. Step 2: Convert to fraction form
    769.53/1,061.96 = 438.06/x
  3. Step 3: Cross multiply
    769.53x = 1,061.96 × 438.06
  4. Step 4: Simplify right side
    769.53x = 465,200.01
  5. Step 5: Solve for x
    x = 465,200.01/769.53
  6. Step 6: Final answer
    x = 604.52

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Why These Related Problems?

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