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Finding the Fourth Proportional to 768.56, 1,152.39 and 411.95

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Solution

The fourth proportional to 768.56, 1,152.39 and 411.95 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.56 : 1,152.39 = 411.95 : x
  2. Step 2: Convert to fraction form
    768.56/1,152.39 = 411.95/x
  3. Step 3: Cross multiply
    768.56x = 1,152.39 × 411.95
  4. Step 4: Simplify right side
    768.56x = 474,731.49
  5. Step 5: Solve for x
    x = 474,731.49/768.56
  6. Step 6: Final answer
    x = 617.69

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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.