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Finding the Fourth Proportional to 1,214.26, 1,674.81 and 841.41

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Solution

The fourth proportional to 1,214.26, 1,674.81 and 841.41 is: 1,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.26 : 1,674.81 = 841.41 : x
  2. Step 2: Convert to fraction form
    1,214.26/1,674.81 = 841.41/x
  3. Step 3: Cross multiply
    1,214.26x = 1,674.81 × 841.41
  4. Step 4: Simplify right side
    1,214.26x = 1,409,201.88
  5. Step 5: Solve for x
    x = 1,409,201.88/1,214.26
  6. Step 6: Final answer
    x = 1,160.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.