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Finding the Fourth Proportional to 797.60, 1,193.84 and 644

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Solution

The fourth proportional to 797.60, 1,193.84 and 644 is: 963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.60 : 1,193.84 = 644 : x
  2. Step 2: Convert to fraction form
    797.60/1,193.84 = 644/x
  3. Step 3: Cross multiply
    797.60x = 1,193.84 × 644
  4. Step 4: Simplify right side
    797.60x = 768,832.96
  5. Step 5: Solve for x
    x = 768,832.96/797.60
  6. Step 6: Final answer
    x = 963.93

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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.