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Finding the Fourth Proportional to 797.57, 1,101.18 and 713.28

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Solution

The fourth proportional to 797.57, 1,101.18 and 713.28 is: 984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.57 : 1,101.18 = 713.28 : x
  2. Step 2: Convert to fraction form
    797.57/1,101.18 = 713.28/x
  3. Step 3: Cross multiply
    797.57x = 1,101.18 × 713.28
  4. Step 4: Simplify right side
    797.57x = 785,449.67
  5. Step 5: Solve for x
    x = 785,449.67/797.57
  6. Step 6: Final answer
    x = 984.80

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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.