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Finding the Fourth Proportional to 768.06, 1,152.63 and 442.98

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Solution

The fourth proportional to 768.06, 1,152.63 and 442.98 is: 664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.06 : 1,152.63 = 442.98 : x
  2. Step 2: Convert to fraction form
    768.06/1,152.63 = 442.98/x
  3. Step 3: Cross multiply
    768.06x = 1,152.63 × 442.98
  4. Step 4: Simplify right side
    768.06x = 510,592.04
  5. Step 5: Solve for x
    x = 510,592.04/768.06
  6. Step 6: Final answer
    x = 664.78

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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.