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Finding the Fourth Proportional to 768.32, 1,060.28 and 419

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Solution

The fourth proportional to 768.32, 1,060.28 and 419 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.32 : 1,060.28 = 419 : x
  2. Step 2: Convert to fraction form
    768.32/1,060.28 = 419/x
  3. Step 3: Cross multiply
    768.32x = 1,060.28 × 419
  4. Step 4: Simplify right side
    768.32x = 444,255.23
  5. Step 5: Solve for x
    x = 444,255.23/768.32
  6. Step 6: Final answer
    x = 578.22

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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.