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Finding the Fourth Proportional to 797.40, 1,100.52 and 600.84

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Solution

The fourth proportional to 797.40, 1,100.52 and 600.84 is: 829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.40 : 1,100.52 = 600.84 : x
  2. Step 2: Convert to fraction form
    797.40/1,100.52 = 600.84/x
  3. Step 3: Cross multiply
    797.40x = 1,100.52 × 600.84
  4. Step 4: Simplify right side
    797.40x = 661,236.44
  5. Step 5: Solve for x
    x = 661,236.44/797.40
  6. Step 6: Final answer
    x = 829.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.