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Finding the Fourth Proportional to 769.88, 1,062.77 and 533.78

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Solution

The fourth proportional to 769.88, 1,062.77 and 533.78 is: 736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.88 : 1,062.77 = 533.78 : x
  2. Step 2: Convert to fraction form
    769.88/1,062.77 = 533.78/x
  3. Step 3: Cross multiply
    769.88x = 1,062.77 × 533.78
  4. Step 4: Simplify right side
    769.88x = 567,285.37
  5. Step 5: Solve for x
    x = 567,285.37/769.88
  6. Step 6: Final answer
    x = 736.85

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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.