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Finding the Fourth Proportional to 719.15, 993.41 and 563.75

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Solution

The fourth proportional to 719.15, 993.41 and 563.75 is: 778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.15 : 993.41 = 563.75 : x
  2. Step 2: Convert to fraction form
    719.15/993.41 = 563.75/x
  3. Step 3: Cross multiply
    719.15x = 993.41 × 563.75
  4. Step 4: Simplify right side
    719.15x = 560,027.10
  5. Step 5: Solve for x
    x = 560,027.10/719.15
  6. Step 6: Final answer
    x = 778.73

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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.