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Finding the Fourth Proportional to 778.12, 1,166.42 and 547.54

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Solution

The fourth proportional to 778.12, 1,166.42 and 547.54 is: 820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.12 : 1,166.42 = 547.54 : x
  2. Step 2: Convert to fraction form
    778.12/1,166.42 = 547.54/x
  3. Step 3: Cross multiply
    778.12x = 1,166.42 × 547.54
  4. Step 4: Simplify right side
    778.12x = 638,661.61
  5. Step 5: Solve for x
    x = 638,661.61/778.12
  6. Step 6: Final answer
    x = 820.78

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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.