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Finding the Fourth Proportional to 650.96, 897.72 and 563.12

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Solution

The fourth proportional to 650.96, 897.72 and 563.12 is: 776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.96 : 897.72 = 563.12 : x
  2. Step 2: Convert to fraction form
    650.96/897.72 = 563.12/x
  3. Step 3: Cross multiply
    650.96x = 897.72 × 563.12
  4. Step 4: Simplify right side
    650.96x = 505,524.09
  5. Step 5: Solve for x
    x = 505,524.09/650.96
  6. Step 6: Final answer
    x = 776.58

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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.