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Finding the Fourth Proportional to 812.32, 1,215.14 and 675.55

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Solution

The fourth proportional to 812.32, 1,215.14 and 675.55 is: 1,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.32 : 1,215.14 = 675.55 : x
  2. Step 2: Convert to fraction form
    812.32/1,215.14 = 675.55/x
  3. Step 3: Cross multiply
    812.32x = 1,215.14 × 675.55
  4. Step 4: Simplify right side
    812.32x = 820,884.45
  5. Step 5: Solve for x
    x = 820,884.45/812.32
  6. Step 6: Final answer
    x = 1,010.54

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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.