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Finding the Fourth Proportional to 767.39, 1,058.97 and 418.07

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Solution

The fourth proportional to 767.39, 1,058.97 and 418.07 is: 576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.39 : 1,058.97 = 418.07 : x
  2. Step 2: Convert to fraction form
    767.39/1,058.97 = 418.07/x
  3. Step 3: Cross multiply
    767.39x = 1,058.97 × 418.07
  4. Step 4: Simplify right side
    767.39x = 442,723.59
  5. Step 5: Solve for x
    x = 442,723.59/767.39
  6. Step 6: Final answer
    x = 576.92

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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.