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Finding the Fourth Proportional to 648.90, 894.94 and 471.87

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Solution

The fourth proportional to 648.90, 894.94 and 471.87 is: 650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.90 : 894.94 = 471.87 : x
  2. Step 2: Convert to fraction form
    648.90/894.94 = 471.87/x
  3. Step 3: Cross multiply
    648.90x = 894.94 × 471.87
  4. Step 4: Simplify right side
    648.90x = 422,295.34
  5. Step 5: Solve for x
    x = 422,295.34/648.90
  6. Step 6: Final answer
    x = 650.79

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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.