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Finding the Fourth Proportional to 1,322.40, 1,982.99 and 705.94

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Solution

The fourth proportional to 1,322.40, 1,982.99 and 705.94 is: 1,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.40 : 1,982.99 = 705.94 : x
  2. Step 2: Convert to fraction form
    1,322.40/1,982.99 = 705.94/x
  3. Step 3: Cross multiply
    1,322.40x = 1,982.99 × 705.94
  4. Step 4: Simplify right side
    1,322.40x = 1,399,872.36
  5. Step 5: Solve for x
    x = 1,399,872.36/1,322.40
  6. Step 6: Final answer
    x = 1,058.58

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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.