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Finding the Fourth Proportional to 768.26, 1,058.83 and 627.47

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Solution

The fourth proportional to 768.26, 1,058.83 and 627.47 is: 864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.26 : 1,058.83 = 627.47 : x
  2. Step 2: Convert to fraction form
    768.26/1,058.83 = 627.47/x
  3. Step 3: Cross multiply
    768.26x = 1,058.83 × 627.47
  4. Step 4: Simplify right side
    768.26x = 664,378.77
  5. Step 5: Solve for x
    x = 664,378.77/768.26
  6. Step 6: Final answer
    x = 864.79

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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.