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Finding the Fourth Proportional to 591.96, 821.82 and 574.14

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Solution

The fourth proportional to 591.96, 821.82 and 574.14 is: 797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.96 : 821.82 = 574.14 : x
  2. Step 2: Convert to fraction form
    591.96/821.82 = 574.14/x
  3. Step 3: Cross multiply
    591.96x = 821.82 × 574.14
  4. Step 4: Simplify right side
    591.96x = 471,839.73
  5. Step 5: Solve for x
    x = 471,839.73/591.96
  6. Step 6: Final answer
    x = 797.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.