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Finding the Fourth Proportional to 766.87, 1,058.27 and 518.25

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Solution

The fourth proportional to 766.87, 1,058.27 and 518.25 is: 715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.87 : 1,058.27 = 518.25 : x
  2. Step 2: Convert to fraction form
    766.87/1,058.27 = 518.25/x
  3. Step 3: Cross multiply
    766.87x = 1,058.27 × 518.25
  4. Step 4: Simplify right side
    766.87x = 548,443.85
  5. Step 5: Solve for x
    x = 548,443.85/766.87
  6. Step 6: Final answer
    x = 715.17

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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.