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Finding the Fourth Proportional to 812.30, 1,120.56 and 480.15

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Solution

The fourth proportional to 812.30, 1,120.56 and 480.15 is: 662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.30 : 1,120.56 = 480.15 : x
  2. Step 2: Convert to fraction form
    812.30/1,120.56 = 480.15/x
  3. Step 3: Cross multiply
    812.30x = 1,120.56 × 480.15
  4. Step 4: Simplify right side
    812.30x = 538,036.88
  5. Step 5: Solve for x
    x = 538,036.88/812.30
  6. Step 6: Final answer
    x = 662.37

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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.