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Finding the Fourth Proportional to 647.21, 892.44 and 563.57

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Solution

The fourth proportional to 647.21, 892.44 and 563.57 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.21 : 892.44 = 563.57 : x
  2. Step 2: Convert to fraction form
    647.21/892.44 = 563.57/x
  3. Step 3: Cross multiply
    647.21x = 892.44 × 563.57
  4. Step 4: Simplify right side
    647.21x = 502,947.95
  5. Step 5: Solve for x
    x = 502,947.95/647.21
  6. Step 6: Final answer
    x = 777.11

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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.