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Finding the Fourth Proportional to 769.76, 1,062.48 and 494.24

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Solution

The fourth proportional to 769.76, 1,062.48 and 494.24 is: 682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.76 : 1,062.48 = 494.24 : x
  2. Step 2: Convert to fraction form
    769.76/1,062.48 = 494.24/x
  3. Step 3: Cross multiply
    769.76x = 1,062.48 × 494.24
  4. Step 4: Simplify right side
    769.76x = 525,120.12
  5. Step 5: Solve for x
    x = 525,120.12/769.76
  6. Step 6: Final answer
    x = 682.19

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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.