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Finding the Fourth Proportional to 644.01, 969.86 and 563.82

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Solution

The fourth proportional to 644.01, 969.86 and 563.82 is: 849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.01 : 969.86 = 563.82 : x
  2. Step 2: Convert to fraction form
    644.01/969.86 = 563.82/x
  3. Step 3: Cross multiply
    644.01x = 969.86 × 563.82
  4. Step 4: Simplify right side
    644.01x = 546,826.47
  5. Step 5: Solve for x
    x = 546,826.47/644.01
  6. Step 6: Final answer
    x = 849.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.