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Finding the Fourth Proportional to 768.53, 1,152.39 and 378.56

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Solution

The fourth proportional to 768.53, 1,152.39 and 378.56 is: 567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.53 : 1,152.39 = 378.56 : x
  2. Step 2: Convert to fraction form
    768.53/1,152.39 = 378.56/x
  3. Step 3: Cross multiply
    768.53x = 1,152.39 × 378.56
  4. Step 4: Simplify right side
    768.53x = 436,243.00
  5. Step 5: Solve for x
    x = 436,243.00/768.53
  6. Step 6: Final answer
    x = 567.64

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Why These Related Problems?

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