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Finding the Fourth Proportional to 648.49, 894.90 and 596.24

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Solution

The fourth proportional to 648.49, 894.90 and 596.24 is: 822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.49 : 894.90 = 596.24 : x
  2. Step 2: Convert to fraction form
    648.49/894.90 = 596.24/x
  3. Step 3: Cross multiply
    648.49x = 894.90 × 596.24
  4. Step 4: Simplify right side
    648.49x = 533,577.97
  5. Step 5: Solve for x
    x = 533,577.97/648.49
  6. Step 6: Final answer
    x = 822.80

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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.