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Finding the Fourth Proportional to 789.72, 1,185.10 and 356.90

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Solution

The fourth proportional to 789.72, 1,185.10 and 356.90 is: 535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.72 : 1,185.10 = 356.90 : x
  2. Step 2: Convert to fraction form
    789.72/1,185.10 = 356.90/x
  3. Step 3: Cross multiply
    789.72x = 1,185.10 × 356.90
  4. Step 4: Simplify right side
    789.72x = 422,962.19
  5. Step 5: Solve for x
    x = 422,962.19/789.72
  6. Step 6: Final answer
    x = 535.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.