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Finding the Fourth Proportional to 812.16, 1,215.84 and 766.56

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Solution

The fourth proportional to 812.16, 1,215.84 and 766.56 is: 1,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.16 : 1,215.84 = 766.56 : x
  2. Step 2: Convert to fraction form
    812.16/1,215.84 = 766.56/x
  3. Step 3: Cross multiply
    812.16x = 1,215.84 × 766.56
  4. Step 4: Simplify right side
    812.16x = 932,014.31
  5. Step 5: Solve for x
    x = 932,014.31/812.16
  6. Step 6: Final answer
    x = 1,147.57

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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.