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Finding the Fourth Proportional to 883.13, 1,218.78 and 490.17

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Solution

The fourth proportional to 883.13, 1,218.78 and 490.17 is: 676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.13 : 1,218.78 = 490.17 : x
  2. Step 2: Convert to fraction form
    883.13/1,218.78 = 490.17/x
  3. Step 3: Cross multiply
    883.13x = 1,218.78 × 490.17
  4. Step 4: Simplify right side
    883.13x = 597,415.80
  5. Step 5: Solve for x
    x = 597,415.80/883.13
  6. Step 6: Final answer
    x = 676.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.