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Finding the Fourth Proportional to 768.74, 1,060.11 and 488.48

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Solution

The fourth proportional to 768.74, 1,060.11 and 488.48 is: 673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.74 : 1,060.11 = 488.48 : x
  2. Step 2: Convert to fraction form
    768.74/1,060.11 = 488.48/x
  3. Step 3: Cross multiply
    768.74x = 1,060.11 × 488.48
  4. Step 4: Simplify right side
    768.74x = 517,837.23
  5. Step 5: Solve for x
    x = 517,837.23/768.74
  6. Step 6: Final answer
    x = 673.62

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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.