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Finding the Fourth Proportional to 797.37, 1,101.09 and 600.54

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Solution

The fourth proportional to 797.37, 1,101.09 and 600.54 is: 829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.37 : 1,101.09 = 600.54 : x
  2. Step 2: Convert to fraction form
    797.37/1,101.09 = 600.54/x
  3. Step 3: Cross multiply
    797.37x = 1,101.09 × 600.54
  4. Step 4: Simplify right side
    797.37x = 661,248.59
  5. Step 5: Solve for x
    x = 661,248.59/797.37
  6. Step 6: Final answer
    x = 829.29

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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.