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Finding the Fourth Proportional to 768.16, 1,152.69 and 475.84

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Solution

The fourth proportional to 768.16, 1,152.69 and 475.84 is: 714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.16 : 1,152.69 = 475.84 : x
  2. Step 2: Convert to fraction form
    768.16/1,152.69 = 475.84/x
  3. Step 3: Cross multiply
    768.16x = 1,152.69 × 475.84
  4. Step 4: Simplify right side
    768.16x = 548,496.01
  5. Step 5: Solve for x
    x = 548,496.01/768.16
  6. Step 6: Final answer
    x = 714.04

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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.