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Finding the Fourth Proportional to 1,311.73, 1,968.41 and 964.21

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Solution

The fourth proportional to 1,311.73, 1,968.41 and 964.21 is: 1,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.73 : 1,968.41 = 964.21 : x
  2. Step 2: Convert to fraction form
    1,311.73/1,968.41 = 964.21/x
  3. Step 3: Cross multiply
    1,311.73x = 1,968.41 × 964.21
  4. Step 4: Simplify right side
    1,311.73x = 1,897,960.61
  5. Step 5: Solve for x
    x = 1,897,960.61/1,311.73
  6. Step 6: Final answer
    x = 1,446.91

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Why These Related Problems?

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