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Finding the Fourth Proportional to 843.04, 1,263.84 and 661.24

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Solution

The fourth proportional to 843.04, 1,263.84 and 661.24 is: 991.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.04 : 1,263.84 = 661.24 : x
  2. Step 2: Convert to fraction form
    843.04/1,263.84 = 661.24/x
  3. Step 3: Cross multiply
    843.04x = 1,263.84 × 661.24
  4. Step 4: Simplify right side
    843.04x = 835,701.56
  5. Step 5: Solve for x
    x = 835,701.56/843.04
  6. Step 6: Final answer
    x = 991.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.