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Finding the Fourth Proportional to 1,321.34, 1,982.31 and 910.64

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Solution

The fourth proportional to 1,321.34, 1,982.31 and 910.64 is: 1,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.34 : 1,982.31 = 910.64 : x
  2. Step 2: Convert to fraction form
    1,321.34/1,982.31 = 910.64/x
  3. Step 3: Cross multiply
    1,321.34x = 1,982.31 × 910.64
  4. Step 4: Simplify right side
    1,321.34x = 1,805,170.78
  5. Step 5: Solve for x
    x = 1,805,170.78/1,321.34
  6. Step 6: Final answer
    x = 1,366.17

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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.