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Finding the Fourth Proportional to 884.19, 1,218.74 and 706.84

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Solution

The fourth proportional to 884.19, 1,218.74 and 706.84 is: 974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.19 : 1,218.74 = 706.84 : x
  2. Step 2: Convert to fraction form
    884.19/1,218.74 = 706.84/x
  3. Step 3: Cross multiply
    884.19x = 1,218.74 × 706.84
  4. Step 4: Simplify right side
    884.19x = 861,452.17
  5. Step 5: Solve for x
    x = 861,452.17/884.19
  6. Step 6: Final answer
    x = 974.28

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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.