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Finding the Fourth Proportional to 1,221.45, 1,685.84 and 779.85

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Solution

The fourth proportional to 1,221.45, 1,685.84 and 779.85 is: 1,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.45 : 1,685.84 = 779.85 : x
  2. Step 2: Convert to fraction form
    1,221.45/1,685.84 = 779.85/x
  3. Step 3: Cross multiply
    1,221.45x = 1,685.84 × 779.85
  4. Step 4: Simplify right side
    1,221.45x = 1,314,698.42
  5. Step 5: Solve for x
    x = 1,314,698.42/1,221.45
  6. Step 6: Final answer
    x = 1,076.34

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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.