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Finding the Fourth Proportional to 778.76, 1,173.48 and 644.80

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Solution

The fourth proportional to 778.76, 1,173.48 and 644.80 is: 971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.76 : 1,173.48 = 644.80 : x
  2. Step 2: Convert to fraction form
    778.76/1,173.48 = 644.80/x
  3. Step 3: Cross multiply
    778.76x = 1,173.48 × 644.80
  4. Step 4: Simplify right side
    778.76x = 756,659.90
  5. Step 5: Solve for x
    x = 756,659.90/778.76
  6. Step 6: Final answer
    x = 971.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.