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Finding the Fourth Proportional to 1,321.00, 1,982.49 and 903.53

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Solution

The fourth proportional to 1,321.00, 1,982.49 and 903.53 is: 1,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.00 : 1,982.49 = 903.53 : x
  2. Step 2: Convert to fraction form
    1,321.00/1,982.49 = 903.53/x
  3. Step 3: Cross multiply
    1,321.00x = 1,982.49 × 903.53
  4. Step 4: Simplify right side
    1,321.00x = 1,791,240.10
  5. Step 5: Solve for x
    x = 1,791,240.10/1,321.00
  6. Step 6: Final answer
    x = 1,355.98

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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.