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Finding the Fourth Proportional to 1,220.97, 1,684.80 and 689.79

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Solution

The fourth proportional to 1,220.97, 1,684.80 and 689.79 is: 951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.97 : 1,684.80 = 689.79 : x
  2. Step 2: Convert to fraction form
    1,220.97/1,684.80 = 689.79/x
  3. Step 3: Cross multiply
    1,220.97x = 1,684.80 × 689.79
  4. Step 4: Simplify right side
    1,220.97x = 1,162,158.19
  5. Step 5: Solve for x
    x = 1,162,158.19/1,220.97
  6. Step 6: Final answer
    x = 951.83

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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.