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Finding the Fourth Proportional to 650.48, 897.36 and 563.04

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Solution

The fourth proportional to 650.48, 897.36 and 563.04 is: 776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.48 : 897.36 = 563.04 : x
  2. Step 2: Convert to fraction form
    650.48/897.36 = 563.04/x
  3. Step 3: Cross multiply
    650.48x = 897.36 × 563.04
  4. Step 4: Simplify right side
    650.48x = 505,249.57
  5. Step 5: Solve for x
    x = 505,249.57/650.48
  6. Step 6: Final answer
    x = 776.73

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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.