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Finding the Fourth Proportional to 1,321.30, 1,983.15 and 888.76

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Solution

The fourth proportional to 1,321.30, 1,983.15 and 888.76 is: 1,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.30 : 1,983.15 = 888.76 : x
  2. Step 2: Convert to fraction form
    1,321.30/1,983.15 = 888.76/x
  3. Step 3: Cross multiply
    1,321.30x = 1,983.15 × 888.76
  4. Step 4: Simplify right side
    1,321.30x = 1,762,544.39
  5. Step 5: Solve for x
    x = 1,762,544.39/1,321.30
  6. Step 6: Final answer
    x = 1,333.95

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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.