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Finding the Fourth Proportional to 778.97, 1,169.37 and 546.91

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Solution

The fourth proportional to 778.97, 1,169.37 and 546.91 is: 821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.97 : 1,169.37 = 546.91 : x
  2. Step 2: Convert to fraction form
    778.97/1,169.37 = 546.91/x
  3. Step 3: Cross multiply
    778.97x = 1,169.37 × 546.91
  4. Step 4: Simplify right side
    778.97x = 639,537.22
  5. Step 5: Solve for x
    x = 639,537.22/778.97
  6. Step 6: Final answer
    x = 821.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.