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Finding the Fourth Proportional to 1,705.27, 2,353.03 and 959.10

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Solution

The fourth proportional to 1,705.27, 2,353.03 and 959.10 is: 1,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.27 : 2,353.03 = 959.10 : x
  2. Step 2: Convert to fraction form
    1,705.27/2,353.03 = 959.10/x
  3. Step 3: Cross multiply
    1,705.27x = 2,353.03 × 959.10
  4. Step 4: Simplify right side
    1,705.27x = 2,256,791.07
  5. Step 5: Solve for x
    x = 2,256,791.07/1,705.27
  6. Step 6: Final answer
    x = 1,323.43

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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.