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Finding the Fourth Proportional to 645.42, 967.05 and 563.34

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Solution

The fourth proportional to 645.42, 967.05 and 563.34 is: 844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.42 : 967.05 = 563.34 : x
  2. Step 2: Convert to fraction form
    645.42/967.05 = 563.34/x
  3. Step 3: Cross multiply
    645.42x = 967.05 × 563.34
  4. Step 4: Simplify right side
    645.42x = 544,777.95
  5. Step 5: Solve for x
    x = 544,777.95/645.42
  6. Step 6: Final answer
    x = 844.07

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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.