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Finding the Fourth Proportional to 769.66, 1,062.31 and 594.62

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Solution

The fourth proportional to 769.66, 1,062.31 and 594.62 is: 820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.66 : 1,062.31 = 594.62 : x
  2. Step 2: Convert to fraction form
    769.66/1,062.31 = 594.62/x
  3. Step 3: Cross multiply
    769.66x = 1,062.31 × 594.62
  4. Step 4: Simplify right side
    769.66x = 631,670.77
  5. Step 5: Solve for x
    x = 631,670.77/769.66
  6. Step 6: Final answer
    x = 820.71

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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.