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Finding the Fourth Proportional to 883.17, 1,218.24 and 684.18

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Solution

The fourth proportional to 883.17, 1,218.24 and 684.18 is: 943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.17 : 1,218.24 = 684.18 : x
  2. Step 2: Convert to fraction form
    883.17/1,218.24 = 684.18/x
  3. Step 3: Cross multiply
    883.17x = 1,218.24 × 684.18
  4. Step 4: Simplify right side
    883.17x = 833,495.44
  5. Step 5: Solve for x
    x = 833,495.44/883.17
  6. Step 6: Final answer
    x = 943.75

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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.