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Finding the Fourth Proportional to 883.09, 1,218.63 and 490.11

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Solution

The fourth proportional to 883.09, 1,218.63 and 490.11 is: 676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.09 : 1,218.63 = 490.11 : x
  2. Step 2: Convert to fraction form
    883.09/1,218.63 = 490.11/x
  3. Step 3: Cross multiply
    883.09x = 1,218.63 × 490.11
  4. Step 4: Simplify right side
    883.09x = 597,262.75
  5. Step 5: Solve for x
    x = 597,262.75/883.09
  6. Step 6: Final answer
    x = 676.33

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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.