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Finding the Fourth Proportional to 816.82, 1,127.25 and 480.91

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Solution

The fourth proportional to 816.82, 1,127.25 and 480.91 is: 663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.82 : 1,127.25 = 480.91 : x
  2. Step 2: Convert to fraction form
    816.82/1,127.25 = 480.91/x
  3. Step 3: Cross multiply
    816.82x = 1,127.25 × 480.91
  4. Step 4: Simplify right side
    816.82x = 542,105.80
  5. Step 5: Solve for x
    x = 542,105.80/816.82
  6. Step 6: Final answer
    x = 663.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.