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Finding the Fourth Proportional to 648.61, 892.99 and 577.37

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Solution

The fourth proportional to 648.61, 892.99 and 577.37 is: 794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.61 : 892.99 = 577.37 : x
  2. Step 2: Convert to fraction form
    648.61/892.99 = 577.37/x
  3. Step 3: Cross multiply
    648.61x = 892.99 × 577.37
  4. Step 4: Simplify right side
    648.61x = 515,586.43
  5. Step 5: Solve for x
    x = 515,586.43/648.61
  6. Step 6: Final answer
    x = 794.91

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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.