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Finding the Fourth Proportional to 797.22, 1,193.40 and 633.60

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Solution

The fourth proportional to 797.22, 1,193.40 and 633.60 is: 948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.22 : 1,193.40 = 633.60 : x
  2. Step 2: Convert to fraction form
    797.22/1,193.40 = 633.60/x
  3. Step 3: Cross multiply
    797.22x = 1,193.40 × 633.60
  4. Step 4: Simplify right side
    797.22x = 756,138.24
  5. Step 5: Solve for x
    x = 756,138.24/797.22
  6. Step 6: Final answer
    x = 948.47

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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.