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Finding the Fourth Proportional to 797.40, 1,100.24 and 536.18

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Solution

The fourth proportional to 797.40, 1,100.24 and 536.18 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.40 : 1,100.24 = 536.18 : x
  2. Step 2: Convert to fraction form
    797.40/1,100.24 = 536.18/x
  3. Step 3: Cross multiply
    797.40x = 1,100.24 × 536.18
  4. Step 4: Simplify right side
    797.40x = 589,926.68
  5. Step 5: Solve for x
    x = 589,926.68/797.40
  6. Step 6: Final answer
    x = 739.81

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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.