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Finding the Fourth Proportional to 1,221.83, 1,684.97 and 778.96

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Solution

The fourth proportional to 1,221.83, 1,684.97 and 778.96 is: 1,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.83 : 1,684.97 = 778.96 : x
  2. Step 2: Convert to fraction form
    1,221.83/1,684.97 = 778.96/x
  3. Step 3: Cross multiply
    1,221.83x = 1,684.97 × 778.96
  4. Step 4: Simplify right side
    1,221.83x = 1,312,521.97
  5. Step 5: Solve for x
    x = 1,312,521.97/1,221.83
  6. Step 6: Final answer
    x = 1,074.23

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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.