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Finding the Fourth Proportional to 773.78, 1,159.30 and 644.60

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Solution

The fourth proportional to 773.78, 1,159.30 and 644.60 is: 965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.78 : 1,159.30 = 644.60 : x
  2. Step 2: Convert to fraction form
    773.78/1,159.30 = 644.60/x
  3. Step 3: Cross multiply
    773.78x = 1,159.30 × 644.60
  4. Step 4: Simplify right side
    773.78x = 747,288.48
  5. Step 5: Solve for x
    x = 747,288.48/773.78
  6. Step 6: Final answer
    x = 965.77

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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.