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Finding the Fourth Proportional to 812.54, 1,218.03 and 709.58

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Solution

The fourth proportional to 812.54, 1,218.03 and 709.58 is: 1,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.54 : 1,218.03 = 709.58 : x
  2. Step 2: Convert to fraction form
    812.54/1,218.03 = 709.58/x
  3. Step 3: Cross multiply
    812.54x = 1,218.03 × 709.58
  4. Step 4: Simplify right side
    812.54x = 864,289.73
  5. Step 5: Solve for x
    x = 864,289.73/812.54
  6. Step 6: Final answer
    x = 1,063.69

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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.