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Finding the Fourth Proportional to 768.70, 1,060.82 and 419.39

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Solution

The fourth proportional to 768.70, 1,060.82 and 419.39 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.70 : 1,060.82 = 419.39 : x
  2. Step 2: Convert to fraction form
    768.70/1,060.82 = 419.39/x
  3. Step 3: Cross multiply
    768.70x = 1,060.82 × 419.39
  4. Step 4: Simplify right side
    768.70x = 444,898.35
  5. Step 5: Solve for x
    x = 444,898.35/768.70
  6. Step 6: Final answer
    x = 578.77

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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.