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Finding the Fourth Proportional to 1,216.17, 1,678.73 and 843.64

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Solution

The fourth proportional to 1,216.17, 1,678.73 and 843.64 is: 1,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.17 : 1,678.73 = 843.64 : x
  2. Step 2: Convert to fraction form
    1,216.17/1,678.73 = 843.64/x
  3. Step 3: Cross multiply
    1,216.17x = 1,678.73 × 843.64
  4. Step 4: Simplify right side
    1,216.17x = 1,416,244.81
  5. Step 5: Solve for x
    x = 1,416,244.81/1,216.17
  6. Step 6: Final answer
    x = 1,164.51

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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.