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Finding the Fourth Proportional to 768.25, 1,152.33 and 421.72

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Solution

The fourth proportional to 768.25, 1,152.33 and 421.72 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.25 : 1,152.33 = 421.72 : x
  2. Step 2: Convert to fraction form
    768.25/1,152.33 = 421.72/x
  3. Step 3: Cross multiply
    768.25x = 1,152.33 × 421.72
  4. Step 4: Simplify right side
    768.25x = 485,960.61
  5. Step 5: Solve for x
    x = 485,960.61/768.25
  6. Step 6: Final answer
    x = 632.56

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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.