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Finding the Fourth Proportional to 812.80, 1,216.20 and 596.80

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Solution

The fourth proportional to 812.80, 1,216.20 and 596.80 is: 893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.80 : 1,216.20 = 596.80 : x
  2. Step 2: Convert to fraction form
    812.80/1,216.20 = 596.80/x
  3. Step 3: Cross multiply
    812.80x = 1,216.20 × 596.80
  4. Step 4: Simplify right side
    812.80x = 725,828.16
  5. Step 5: Solve for x
    x = 725,828.16/812.80
  6. Step 6: Final answer
    x = 893.00

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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.