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Finding the Fourth Proportional to 812.92, 1,220.16 and 524.56

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Solution

The fourth proportional to 812.92, 1,220.16 and 524.56 is: 787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.92 : 1,220.16 = 524.56 : x
  2. Step 2: Convert to fraction form
    812.92/1,220.16 = 524.56/x
  3. Step 3: Cross multiply
    812.92x = 1,220.16 × 524.56
  4. Step 4: Simplify right side
    812.92x = 640,047.13
  5. Step 5: Solve for x
    x = 640,047.13/812.92
  6. Step 6: Final answer
    x = 787.34

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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.