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Finding the Fourth Proportional to 768.57, 1,152.86 and 378.35

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Solution

The fourth proportional to 768.57, 1,152.86 and 378.35 is: 567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.57 : 1,152.86 = 378.35 : x
  2. Step 2: Convert to fraction form
    768.57/1,152.86 = 378.35/x
  3. Step 3: Cross multiply
    768.57x = 1,152.86 × 378.35
  4. Step 4: Simplify right side
    768.57x = 436,181.25
  5. Step 5: Solve for x
    x = 436,181.25/768.57
  6. Step 6: Final answer
    x = 567.53

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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.