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Finding the Fourth Proportional to 1,706, 2,353.99 and 959.99

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Solution

The fourth proportional to 1,706, 2,353.99 and 959.99 is: 1,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706 : 2,353.99 = 959.99 : x
  2. Step 2: Convert to fraction form
    1,706/2,353.99 = 959.99/x
  3. Step 3: Cross multiply
    1,706x = 2,353.99 × 959.99
  4. Step 4: Simplify right side
    1,706x = 2,259,806.86
  5. Step 5: Solve for x
    x = 2,259,806.86/1,706
  6. Step 6: Final answer
    x = 1,324.62

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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.