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Finding the Fourth Proportional to 766.99, 1,058.35 and 486.73

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Solution

The fourth proportional to 766.99, 1,058.35 and 486.73 is: 671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.99 : 1,058.35 = 486.73 : x
  2. Step 2: Convert to fraction form
    766.99/1,058.35 = 486.73/x
  3. Step 3: Cross multiply
    766.99x = 1,058.35 × 486.73
  4. Step 4: Simplify right side
    766.99x = 515,130.70
  5. Step 5: Solve for x
    x = 515,130.70/766.99
  6. Step 6: Final answer
    x = 671.63

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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.