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Finding the Fourth Proportional to 797.70, 1,100.88 and 600.90

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Solution

The fourth proportional to 797.70, 1,100.88 and 600.90 is: 829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.70 : 1,100.88 = 600.90 : x
  2. Step 2: Convert to fraction form
    797.70/1,100.88 = 600.90/x
  3. Step 3: Cross multiply
    797.70x = 1,100.88 × 600.90
  4. Step 4: Simplify right side
    797.70x = 661,518.79
  5. Step 5: Solve for x
    x = 661,518.79/797.70
  6. Step 6: Final answer
    x = 829.28

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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.