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Finding the Fourth Proportional to 629.93, 869.73 and 563.34

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Solution

The fourth proportional to 629.93, 869.73 and 563.34 is: 777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.93 : 869.73 = 563.34 : x
  2. Step 2: Convert to fraction form
    629.93/869.73 = 563.34/x
  3. Step 3: Cross multiply
    629.93x = 869.73 × 563.34
  4. Step 4: Simplify right side
    629.93x = 489,952.57
  5. Step 5: Solve for x
    x = 489,952.57/629.93
  6. Step 6: Final answer
    x = 777.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.