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Finding the Fourth Proportional to 1,221.14, 1,684.76 and 689.96

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Solution

The fourth proportional to 1,221.14, 1,684.76 and 689.96 is: 951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.14 : 1,684.76 = 689.96 : x
  2. Step 2: Convert to fraction form
    1,221.14/1,684.76 = 689.96/x
  3. Step 3: Cross multiply
    1,221.14x = 1,684.76 × 689.96
  4. Step 4: Simplify right side
    1,221.14x = 1,162,413.56
  5. Step 5: Solve for x
    x = 1,162,413.56/1,221.14
  6. Step 6: Final answer
    x = 951.91

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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.