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Finding the Fourth Proportional to 797.49, 1,100.12 and 600.66

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Solution

The fourth proportional to 797.49, 1,100.12 and 600.66 is: 828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.49 : 1,100.12 = 600.66 : x
  2. Step 2: Convert to fraction form
    797.49/1,100.12 = 600.66/x
  3. Step 3: Cross multiply
    797.49x = 1,100.12 × 600.66
  4. Step 4: Simplify right side
    797.49x = 660,795.08
  5. Step 5: Solve for x
    x = 660,795.08/797.49
  6. Step 6: Final answer
    x = 828.59

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