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Finding the Fourth Proportional to 768.75, 1,152.72 and 461.19

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Solution

The fourth proportional to 768.75, 1,152.72 and 461.19 is: 691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.75 : 1,152.72 = 461.19 : x
  2. Step 2: Convert to fraction form
    768.75/1,152.72 = 461.19/x
  3. Step 3: Cross multiply
    768.75x = 1,152.72 × 461.19
  4. Step 4: Simplify right side
    768.75x = 531,622.94
  5. Step 5: Solve for x
    x = 531,622.94/768.75
  6. Step 6: Final answer
    x = 691.54

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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.