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Finding the Fourth Proportional to 1,213.61, 1,674.59 and 682.43

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Solution

The fourth proportional to 1,213.61, 1,674.59 and 682.43 is: 941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.61 : 1,674.59 = 682.43 : x
  2. Step 2: Convert to fraction form
    1,213.61/1,674.59 = 682.43/x
  3. Step 3: Cross multiply
    1,213.61x = 1,674.59 × 682.43
  4. Step 4: Simplify right side
    1,213.61x = 1,142,787.04
  5. Step 5: Solve for x
    x = 1,142,787.04/1,213.61
  6. Step 6: Final answer
    x = 941.64

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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.