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Finding the Fourth Proportional to 908.82, 1,366.27 and 841.19

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Solution

The fourth proportional to 908.82, 1,366.27 and 841.19 is: 1,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.82 : 1,366.27 = 841.19 : x
  2. Step 2: Convert to fraction form
    908.82/1,366.27 = 841.19/x
  3. Step 3: Cross multiply
    908.82x = 1,366.27 × 841.19
  4. Step 4: Simplify right side
    908.82x = 1,149,283.73
  5. Step 5: Solve for x
    x = 1,149,283.73/908.82
  6. Step 6: Final answer
    x = 1,264.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.