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Finding the Fourth Proportional to 1,321.28, 1,822.84 and 900.96

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Solution

The fourth proportional to 1,321.28, 1,822.84 and 900.96 is: 1,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.28 : 1,822.84 = 900.96 : x
  2. Step 2: Convert to fraction form
    1,321.28/1,822.84 = 900.96/x
  3. Step 3: Cross multiply
    1,321.28x = 1,822.84 × 900.96
  4. Step 4: Simplify right side
    1,321.28x = 1,642,296.84
  5. Step 5: Solve for x
    x = 1,642,296.84/1,321.28
  6. Step 6: Final answer
    x = 1,242.96

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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.