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Finding the Fourth Proportional to 1,217.45, 1,680.09 and 679.13

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Solution

The fourth proportional to 1,217.45, 1,680.09 and 679.13 is: 937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.45 : 1,680.09 = 679.13 : x
  2. Step 2: Convert to fraction form
    1,217.45/1,680.09 = 679.13/x
  3. Step 3: Cross multiply
    1,217.45x = 1,680.09 × 679.13
  4. Step 4: Simplify right side
    1,217.45x = 1,141,008.15
  5. Step 5: Solve for x
    x = 1,141,008.15/1,217.45
  6. Step 6: Final answer
    x = 937.21

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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.