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Finding the Fourth Proportional to 767.67, 1,058.83 and 468.57

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Solution

The fourth proportional to 767.67, 1,058.83 and 468.57 is: 646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.67 : 1,058.83 = 468.57 : x
  2. Step 2: Convert to fraction form
    767.67/1,058.83 = 468.57/x
  3. Step 3: Cross multiply
    767.67x = 1,058.83 × 468.57
  4. Step 4: Simplify right side
    767.67x = 496,135.97
  5. Step 5: Solve for x
    x = 496,135.97/767.67
  6. Step 6: Final answer
    x = 646.29

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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.