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Finding the Fourth Proportional to 883.21, 1,218.15 and 617.57

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Solution

The fourth proportional to 883.21, 1,218.15 and 617.57 is: 851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.21 : 1,218.15 = 617.57 : x
  2. Step 2: Convert to fraction form
    883.21/1,218.15 = 617.57/x
  3. Step 3: Cross multiply
    883.21x = 1,218.15 × 617.57
  4. Step 4: Simplify right side
    883.21x = 752,292.90
  5. Step 5: Solve for x
    x = 752,292.90/883.21
  6. Step 6: Final answer
    x = 851.77

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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.