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Finding the Fourth Proportional to 671.67, 927.59 and 505.62

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Solution

The fourth proportional to 671.67, 927.59 and 505.62 is: 698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.67 : 927.59 = 505.62 : x
  2. Step 2: Convert to fraction form
    671.67/927.59 = 505.62/x
  3. Step 3: Cross multiply
    671.67x = 927.59 × 505.62
  4. Step 4: Simplify right side
    671.67x = 469,005.53
  5. Step 5: Solve for x
    x = 469,005.53/671.67
  6. Step 6: Final answer
    x = 698.27

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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.