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Finding the Fourth Proportional to 768.10, 1,060.41 and 532.42

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Solution

The fourth proportional to 768.10, 1,060.41 and 532.42 is: 735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.10 : 1,060.41 = 532.42 : x
  2. Step 2: Convert to fraction form
    768.10/1,060.41 = 532.42/x
  3. Step 3: Cross multiply
    768.10x = 1,060.41 × 532.42
  4. Step 4: Simplify right side
    768.10x = 564,583.49
  5. Step 5: Solve for x
    x = 564,583.49/768.10
  6. Step 6: Final answer
    x = 735.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.