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Finding the Fourth Proportional to 812.25, 1,217.50 and 580.43

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Solution

The fourth proportional to 812.25, 1,217.50 and 580.43 is: 870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 1,217.50 = 580.43 : x
  2. Step 2: Convert to fraction form
    812.25/1,217.50 = 580.43/x
  3. Step 3: Cross multiply
    812.25x = 1,217.50 × 580.43
  4. Step 4: Simplify right side
    812.25x = 706,675.12
  5. Step 5: Solve for x
    x = 706,675.12/812.25
  6. Step 6: Final answer
    x = 870.03

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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.