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Finding the Fourth Proportional to 1,705.81, 2,354.09 and 959.80

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Solution

The fourth proportional to 1,705.81, 2,354.09 and 959.80 is: 1,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.81 : 2,354.09 = 959.80 : x
  2. Step 2: Convert to fraction form
    1,705.81/2,354.09 = 959.80/x
  3. Step 3: Cross multiply
    1,705.81x = 2,354.09 × 959.80
  4. Step 4: Simplify right side
    1,705.81x = 2,259,455.58
  5. Step 5: Solve for x
    x = 2,259,455.58/1,705.81
  6. Step 6: Final answer
    x = 1,324.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.