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Finding the Fourth Proportional to 769.70, 1,062.26 and 521.54

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Solution

The fourth proportional to 769.70, 1,062.26 and 521.54 is: 719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.70 : 1,062.26 = 521.54 : x
  2. Step 2: Convert to fraction form
    769.70/1,062.26 = 521.54/x
  3. Step 3: Cross multiply
    769.70x = 1,062.26 × 521.54
  4. Step 4: Simplify right side
    769.70x = 554,012.03
  5. Step 5: Solve for x
    x = 554,012.03/769.70
  6. Step 6: Final answer
    x = 719.77

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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.