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Finding the Fourth Proportional to 815.52, 1,220.09 and 518.01

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Solution

The fourth proportional to 815.52, 1,220.09 and 518.01 is: 774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.52 : 1,220.09 = 518.01 : x
  2. Step 2: Convert to fraction form
    815.52/1,220.09 = 518.01/x
  3. Step 3: Cross multiply
    815.52x = 1,220.09 × 518.01
  4. Step 4: Simplify right side
    815.52x = 632,016.23
  5. Step 5: Solve for x
    x = 632,016.23/815.52
  6. Step 6: Final answer
    x = 774.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.